diff --git a/content/http..www.gap-system.org/$Types.omdoc b/content/http..www.gap-system.org/$Types.omdoc
deleted file mode 100644
index ae963a6f9408d6ef74431ecc20ac3e23b7ece06a..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/$Types.omdoc
+++ /dev/null
@@ -1,235 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="Types" base="http://www.gap-system.org" meta="http://cds.omdoc.org/urtheories?PLF"><metadata><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#85.3.0:1178.41.0"/></metadata><constant name="object">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#111.4.1:125.4.15"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#120.4.10:123.4.13"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="category">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#128.5.1:144.5.17"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#139.5.12:142.5.15"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="booleans">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#149.7.1:165.7.17"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#160.7.12:163.7.15"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="integers">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#168.8.1:184.8.17"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#179.8.12:182.8.15"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="floats">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#187.9.1:201.9.15"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#196.9.10:199.9.13"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="filter">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#206.11.1:229.11.24"/></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#215.11.10:227.11.22"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"></om:OMS><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#224.11.19:227.11.22"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="hastp">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#234.13.1:294.13.61"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#242.13.9:263.13.30"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#242.13.9:247.13.14"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#251.13.18:256.13.23"/></metadata></om:OMS><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#260.13.27:263.13.30"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
- <notations><notation dimension="1" precedence="0" fixity="mixfix" arguments="1 $ 2"> <scope languages="" priority="0"/> </notation></notations>
- </constant><constant name="filter_and">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#299.15.1:349.15.51"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#312.15.14:335.15.37"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#312.15.14:317.15.19"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#321.15.23:326.15.28"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#330.15.32:335.15.37"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
- <notations><notation dimension="1" precedence="0" fixity="mixfix" arguments="1 and 2"> <scope languages="" priority="0"/> </notation></notations>
- </constant><constant name="filter_and_hasFilter1">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#352.16.1:441.16.90"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#376.16.25:439.16.88"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#377.16.26:377.16.26"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#381.16.30:386.16.35"/></metadata></om:OMS></type></om:OMV><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#388.16.37:388.16.37"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#392.16.41:397.16.46"/></metadata></om:OMS></type></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#399.16.48:399.16.48"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#403.16.52:408.16.57"/></metadata></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#411.16.60:439.16.88"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#411.16.60:415.16.64"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#411.16.60:411.16.60"/></metadata></om:OMV><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#415.16.64:415.16.64"/></metadata></om:OMV>
- </om:OMA><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#419.16.68:423.16.72"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#419.16.68:419.16.68"/></metadata></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#423.16.72:423.16.72"/></metadata></om:OMV>
- </om:OMA><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#427.16.76:439.16.88"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#427.16.76:427.16.76"/></metadata></om:OMV><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#431.16.80:439.16.88"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter_and"></om:OMS><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#432.16.81:432.16.81"/></metadata></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#438.16.87:438.16.87"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="filter_and_hasFilter2">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#444.17.1:525.17.82"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#468.17.25:523.17.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#469.17.26:469.17.26"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#473.17.30:478.17.35"/></metadata></om:OMS></type></om:OMV><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#480.17.37:480.17.37"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#484.17.41:489.17.46"/></metadata></om:OMS></type></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#491.17.48:491.17.48"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#495.17.52:500.17.57"/></metadata></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#503.17.60:523.17.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#503.17.60:515.17.72"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#503.17.60:503.17.60"/></metadata></om:OMV><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#507.17.64:515.17.72"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter_and"></om:OMS><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#508.17.65:508.17.65"/></metadata></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#514.17.71:514.17.71"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#519.17.76:523.17.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#519.17.76:519.17.76"/></metadata></om:OMV><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#523.17.80:523.17.80"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="filter_and_hasFilter3">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#528.18.1:609.18.82"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#552.18.25:607.18.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#553.18.26:553.18.26"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#557.18.30:562.18.35"/></metadata></om:OMS></type></om:OMV><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#564.18.37:564.18.37"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#568.18.41:573.18.46"/></metadata></om:OMS></type></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#575.18.48:575.18.48"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#579.18.52:584.18.57"/></metadata></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#587.18.60:607.18.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#587.18.60:599.18.72"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#587.18.60:587.18.60"/></metadata></om:OMV><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#591.18.64:599.18.72"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter_and"></om:OMS><om:OMV name="f"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#592.18.65:592.18.65"/></metadata></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#598.18.71:598.18.71"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#603.18.76:607.18.80"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="hastp"></om:OMS><om:OMV name="x"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#603.18.76:603.18.76"/></metadata></om:OMV><om:OMV name="g"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#607.18.80:607.18.80"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ded">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#614.20.1:634.20.21"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#620.20.7:632.20.19"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#620.20.7:625.20.12"/></metadata></om:OMS><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#629.20.16:632.20.19"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><ruleconstant name="[scala://GAP.odk.mmt.kwarc.info?Booleans]"><type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="scala://GAP.odk.mmt.kwarc.info" module="Booleans"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#644.22.6:657.22.19"/></metadata></om:OMS></om:OMOBJ></type></ruleconstant><ruleconstant name="[scala://GAP.odk.mmt.kwarc.info?Integers]"><type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="scala://GAP.odk.mmt.kwarc.info" module="Integers"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#667.23.6:680.23.19"/></metadata></om:OMS></om:OMOBJ></type></ruleconstant><ruleconstant name="[scala://GAP.odk.mmt.kwarc.info?Floats]"><type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="scala://GAP.odk.mmt.kwarc.info" module="Floats"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#690.24.6:701.24.17"/></metadata></om:OMS></om:OMOBJ></type></ruleconstant><constant name="gapbool">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#708.26.1:736.26.29"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#718.26.11:734.26.27"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="booleans"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#718.26.11:725.26.18"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#729.26.22:734.26.27"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="gapint">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#739.27.1:766.27.28"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#748.27.10:764.27.26"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="integers"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#748.27.10:755.27.17"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#759.27.21:764.27.26"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="gapfloat">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#769.28.1:796.28.28"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#780.28.12:794.28.26"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="floats"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#780.28.12:785.28.17"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#789.28.21:794.28.26"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="trueI">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#801.30.1:828.30.28"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#809.30.9:826.30.26"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="ded"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#809.30.9:811.30.11"/></metadata></om:OMS><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#813.30.13:826.30.26"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="gapbool"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#814.30.14:820.30.20"/></metadata></om:OMS><om:OMLIT type="http://www.gap-system.org/?Types?booleans" value="true"/>
- </om:OMA>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="catFilter">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#831.31.1:861.31.31"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#843.31.13:859.31.29"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="category"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#843.31.13:850.31.20"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#854.31.24:859.31.29"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="propertyFilter">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#864.32.1:930.32.67"/></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#881.32.18:906.32.43"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#882.32.19:887.32.24"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#891.32.28:896.32.33"/></metadata></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#901.32.38:906.32.43"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#912.32.49:928.32.65"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="lambda"></om:OMS>
- <om:OMBVAR><om:OMV name="p"><metadata><tag property="http://cds.omdoc.org/mmt?mmt?inferred-type"/><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#913.32.50:913.32.50"/></metadata><type><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#882.32.19:887.32.24"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#891.32.28:896.32.33"/></metadata></om:OMS>
- </om:OMA></type></om:OMV></om:OMBVAR>
- <om:OMBIND><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#916.32.53:928.32.65"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="lambda"></om:OMS>
- <om:OMBVAR><om:OMV name="o"><metadata><tag property="http://cds.omdoc.org/mmt?mmt?inferred-type"/><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#917.32.54:917.32.54"/></metadata><type><om:OMS base="http://www.gap-system.org" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#920.32.57:928.32.65"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="ded"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#920.32.57:922.32.59"/></metadata></om:OMS><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#924.32.61:928.32.65"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMV name="p"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#925.32.62:925.32.62"/></metadata></om:OMV><om:OMV name="o"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#927.32.64:927.32.64"/></metadata></om:OMV>
- </om:OMA>
- </om:OMA>
- </om:OMBIND>
- </om:OMBIND></om:OMOBJ></definition>
-
- </constant><constant name="Has">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#935.34.1:968.34.34"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Kinded" name="kind"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#941.34.7:966.34.32"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#941.34.7:957.34.23"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#942.34.8:947.34.13"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#951.34.17:956.34.22"/></metadata></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#961.34.27:966.34.32"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CategoryCollection">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#971.35.1:1010.35.40"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#992.35.22:1008.35.38"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#992.35.22:997.35.27"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="category"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1001.35.31:1008.35.38"/></metadata></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Set">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1013.36.1:1046.36.34"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1019.36.7:1044.36.32"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="filter"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1019.36.7:1024.36.12"/></metadata></om:OMS><om:OMA><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1028.36.16:1044.36.32"/></metadata>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1029.36.17:1034.36.22"/></metadata></om:OMS><om:OMS base="http://www.gap-system.org" module="Types" name="object"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1038.36.26:1043.36.31"/></metadata></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBool">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1049.37.1:1067.37.19"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org" module="Types" name="category"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1058.37.10:1065.37.17"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsObject">
- <metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1070.38.1:1090.38.21"/><meta property="http://gl.mathhub.info/MMT/LFX/TypedHierarchy?Symbols?TypeLevel"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://cds.omdoc.org/urtheories" module="Typed" name="type"></om:OMS></om:OMOBJ></meta></metadata>
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org" module="Types" name="category"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://www.gap-system.org/types.mmt#1081.38.12:1088.38.19"/></metadata></om:OMS></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/$Types.omdoc.xz b/content/http..www.gap-system.org/$Types.omdoc.xz
new file mode 100644
index 0000000000000000000000000000000000000000..8f7aa621c18be9a697cafa1fe3b8f5d23e0f58a7
Binary files /dev/null and b/content/http..www.gap-system.org/$Types.omdoc.xz differ
diff --git a/content/http..www.gap-system.org/grp/basic.omdoc b/content/http..www.gap-system.org/grp/basic.omdoc
deleted file mode 100644
index 1a206620e8d7392691815f6ea66ee6ec29a9404d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/basic.omdoc
+++ /dev/null
@@ -1,89 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="basic" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="AbelianGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="QuaternionGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtraspecialGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CyclicGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DihedralGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeAbelianGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MathieuGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryAbelianGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TrivialGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlternatingGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/classic.omdoc b/content/http..www.gap-system.org/grp/classic.omdoc
deleted file mode 100644
index 0f21be9bff07b2e46ae7429d1fd064cc40696f2b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/classic.omdoc
+++ /dev/null
@@ -1,129 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="classic" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="GeneralLinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SymplecticGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SpecialUnitaryGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveSpecialLinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SpecialOrthogonalGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveSymplecticGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveGeneralUnitaryGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SpecialSemilinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SpecialLinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveOmegaCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneralSemilinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneralOrthogonalGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveSpecialUnitaryGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OmegaCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveGeneralLinearGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneralUnitaryGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/imf.omdoc b/content/http..www.gap-system.org/grp/imf.omdoc
deleted file mode 100644
index 32d487008fb9991bdb57260146c2bd6a397ba8b8..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/imf.omdoc
+++ /dev/null
@@ -1,14 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="imf" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="ImfRecord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsImfMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/perf.omdoc b/content/http..www.gap-system.org/grp/perf.omdoc
deleted file mode 100644
index d06c2469deb3631920f5deeb04e5e2cc0593f508..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/perf.omdoc
+++ /dev/null
@@ -1,892 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="perf" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="IsPerfectLibraryGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectLibraryGroup_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/grp" module="perf" name="IsPerfectLibraryGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PerfGrpConst">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PerfectIdentification">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/ree.omdoc b/content/http..www.gap-system.org/grp/ree.omdoc
deleted file mode 100644
index 2f61cdd3f98fe4075ff1360b4e41dfeef438a5c5..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/ree.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ree" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ReeGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/simple.omdoc b/content/http..www.gap-system.org/grp/simple.omdoc
deleted file mode 100644
index c8af53705044ed68cc303397e5991d707307f120..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/simple.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="simple" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="DataAboutSimpleGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/grp/suzuki.omdoc b/content/http..www.gap-system.org/grp/suzuki.omdoc
deleted file mode 100644
index 76f7fa8da22e0637b46e37235d6941ba086d20e6..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/grp/suzuki.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="suzuki" base="http://www.gap-system.org/grp" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="SuzukiGroupCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/addcoset.omdoc b/content/http..www.gap-system.org/lib/addcoset.omdoc
deleted file mode 100644
index 9a54f60a8c3e14a59ba80d71fea7b15214810a71..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/addcoset.omdoc
+++ /dev/null
@@ -1,301 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="addcoset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extaset"></import><constant name="IsAdditiveCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCoset_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?addmagma"></import><constant name="AdditiveCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsAdditiveCosetDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveCosetDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="addcoset" name="IsAdditiveCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/addmagma.omdoc b/content/http..www.gap-system.org/lib/addmagma.omdoc
deleted file mode 100644
index d67bca4aa2fefe628d20c31557d702df0d8ecbba..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/addmagma.omdoc
+++ /dev/null
@@ -1,942 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="addmagma" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsNearAdditiveMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagma_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveMagmaWithZero_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditivelyCommutative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NearAdditiveMagmaWithZeroByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NearAdditiveGroupByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdditiveNeutralElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfNearAdditiveMagmaWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="TrivialSubnearAdditiveMagmaWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="GeneratorsOfNearAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfNearAdditiveMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NearAdditiveMagmaByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClosureNearAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveMagmaWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/adjoin.omdoc b/content/http..www.gap-system.org/lib/adjoin.omdoc
deleted file mode 100644
index 6a1ad437f320618b9ba101d2af67f2c3c8eed625..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/adjoin.omdoc
+++ /dev/null
@@ -1,714 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="adjoin" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMonoidByAdjoiningIdentityElt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityElt_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityElt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityElt_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityElt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityElt_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityElt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityElt_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityElt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityElt_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityElt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingSemigroupElementOfMonoidByAdjoiningIdentityElt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="UnderlyingSemigroupFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MonoidByAdjoiningIdentityElt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdjoinedIdentityFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="MonoidByAdjoiningIdentity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="IsMonoidByAdjoiningIdentity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentity_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingSemigroupOfMonoidByAdjoiningIdentity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdjoinedIdentityDefaultType">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityEltRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidByAdjoiningIdentityEltRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="adjoin" name="IsMonoidByAdjoiningIdentityEltRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/algebra.omdoc b/content/http..www.gap-system.org/lib/algebra.omdoc
deleted file mode 100644
index 9389907766b3c06fb450f753531000ddf868c50e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/algebra.omdoc
+++ /dev/null
@@ -1,1156 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="algebra" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="AsFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="AsSubFLMLORWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?basis"></import><constant name="IndicesOfAdjointBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsQuaternion">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternion_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algebra" name="IsQuaternion"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ProductSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NullAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="RadicalOfAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpotentElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerSubalgebraSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeviMalcevDecomposition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsFLMLORWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FLMLORWithOneByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="DirectSumOfAlgebras">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClosureLeftOperatorRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfLeftOperatorRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFLMLORWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="FLMLORByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="GeneratorsOfLeftOperatorRingWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ring"></import><constant name="IsLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsJacobianRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsJacobianRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsZeroSquaredRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsZeroSquaredRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Grading">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSubFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdjointBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DirectSumDecomposition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSimpleAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieAlgebraByDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/algfld.omdoc b/content/http..www.gap-system.org/lib/algfld.omdoc
deleted file mode 100644
index 8e37a661eb46e7dd0730943c818839c90e392cc2..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/algfld.omdoc
+++ /dev/null
@@ -1,3893 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="algfld" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsAlgebraicExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st44">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st45">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st46">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st47">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st48">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st49">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st50">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st51">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st52">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtension_st53">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DefectApproximation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="AlgebraicExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlgebraicElementsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsAlgebraicExtensionDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st44">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st45">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st46">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st47">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st48">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st49">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st50">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st51">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st52">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st53">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st54">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st55">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionDefaultRep_st56">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtensionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicExtension"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicElement_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgBFRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgBFRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MaxNumeratorCoeffAlgElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKroneckerConstRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsKroneckerConstRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsAlgebraicElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsCanonicalBasisAlgebraicExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsCanonicalBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAlgebraicExtension_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfld" name="IsCanonicalBasisAlgebraicExtension"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsCanonicalBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="AlgebraicElementsFamilies">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/algfp.omdoc b/content/http..www.gap-system.org/lib/algfp.omdoc
deleted file mode 100644
index 0a6a0a7285637724175c1068ea9d9c7f8629041e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/algfp.omdoc
+++ /dev/null
@@ -1,1762 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="algfp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsNormalForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsFpAlgebraElementsSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpAlgebraElementsSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsFpAlgebraElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpAlgebra_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsElementOfFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NiceNormalFormByExtRepFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="IsSubalgebraFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubalgebraFpAlgebra_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algfp" name="IsSubalgebraFpAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFullFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeAlgebraOfFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementOfFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeGeneratorsOfFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NiceAlgebraMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MappedExpression">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelatorsOfFpAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/alghom.omdoc b/content/http..www.gap-system.org/lib/alghom.omdoc
deleted file mode 100644
index ed680c303dc24e683511a623e03276cf5f5af4a8..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/alghom.omdoc
+++ /dev/null
@@ -1,2279 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="alghom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsomorphismMatrixFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsomorphismSCFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="AlgebraWithOneHomomorphismByImagesNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlgebraHomomorphismByImagesNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="MakePreImagesInfoOperationAlgebraHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?function"></import><constant name="RepresentativeLinearOperation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsAlgebraGeneralMappingByImagesDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraGeneralMappingByImagesDefaultRep_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingDefaultGeneratorMapping_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsPolynomialRingDefaultGeneratorMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpFLMLOR">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphismFromFpRep_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsAlgebraHomomorphismFromFpRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="OperationAlgebraHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlgebraGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlgebraWithOneGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperationAlgebraHomomorphismDefaultRep_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alghom" name="IsOperationAlgebraHomomorphismDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/alglie.omdoc b/content/http..www.gap-system.org/lib/alglie.omdoc
deleted file mode 100644
index 8dd593ff7c51d8e4b138c7ed2aa92ad5002e3ae3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/alglie.omdoc
+++ /dev/null
@@ -1,1600 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="alglie" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsRootSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="SimpleSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><constant name="UniversalEnvelopingAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCentralLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieCentre">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NonNilpotentElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?basis"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="AdjointMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieDerivedSubalgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?mgmring"></import><constant name="IsFamilyElementOfFreeLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyElementOfFreeLieAlgebra_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFamilyElementOfFreeLieAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyElementOfFreeLieAlgebra_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFamilyElementOfFreeLieAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyElementOfFreeLieAlgebra_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFamilyElementOfFreeLieAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyElementOfFreeLieAlgebra_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFamilyElementOfFreeLieAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LieCentralizerInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerS">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KappaPerp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRootSystemFromLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRootSystemFromLieAlgebra_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsRootSystemFromLieAlgebra"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsRootSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PositiveRootVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositiveRoots">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RootSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CartanSubalgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsSpaceOfUEAElements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfUEAElements_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsSpaceOfUEAElements"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieSolvable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiSimpleType">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KillingMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieUpperCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieCentralizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PClosureSubalgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BilinearFormMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieNormalizerInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftDerivations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismOfLieAlgebraFromNilpotentGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NegativeRootVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieNilRadical">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieSolvableRadical">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChevalleyBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CartanMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieLowerCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieNilpotent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieNormalizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PthPowerImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieDerivedSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NegativeRoots">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieAbelian">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="JenningsLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightDerivations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdjointAssociativeAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsFptoSCAMorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFptoSCAMorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="alglie" name="IsFptoSCAMorphism"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="PthPowerImage">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/algrep.omdoc b/content/http..www.gap-system.org/lib/algrep.omdoc
deleted file mode 100644
index 86401ae350b876c54c53b0359df9390e0deffdb2..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/algrep.omdoc
+++ /dev/null
@@ -1,2766 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="algrep" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><constant name="IsAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="ModuleByRestriction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMonomialElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ConvertToNormalFormMonomialElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ExteriorPowerOfAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsBasisOfAlgebraModuleElementSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfAlgebraModuleElementSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfAlgebraModuleElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MatrixOfAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWedgeElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsWedgeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsDirectSumElementsSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElementsSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricPowerOfAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismBySubAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="RightAlgebraModuleByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftActingAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfMonomialSpaceRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfMonomialSpaceRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfMonomialSpaceRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseRowSpaceElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSparseRowSpaceElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DirectSumOfAlgebraModules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutableBasisViaUnderlyingMutableBasisRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutableBasisViaUnderlyingMutableBasisRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMutableBasisViaUnderlyingMutableBasisRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LeftAlgebraModuleByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TensorProductOfAlgebraModules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="LeftModuleByHomomorphismToMatAlg">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BiAlgebraModuleByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraModuleElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModuleElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsLeftAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ActingAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdjointModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TensorProductOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElementRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialElementRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfSparseRowSpaceRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfSparseRowSpaceRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsBasisOfSparseRowSpaceRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FullSparseRowSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BiAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TranslatorSubalgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightModuleByHomomorphismToMatAlg">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExteriorPower">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricPower">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectSumElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsDirectSumElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftAlgebraModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightActingAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightAlgebraModuleElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsRightAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsAlgebraModuleElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricPowerElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsSymmetricPowerElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTensorElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsTensorElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algrep" name="IsMonomialElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FaithfulModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/algsc.omdoc b/content/http..www.gap-system.org/lib/algsc.omdoc
deleted file mode 100644
index d1e145f2eb08c0ef6db69d618772b906b7b3ae5a..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/algsc.omdoc
+++ /dev/null
@@ -1,889 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="algsc" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsCanonicalBasisFullSCAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsDenseCoeffVectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseCoeffVectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsDenseCoeffVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsSCAlgebraObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObj_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyOverFullCoefficientsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFamilyOverFullCoefficientsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsFamilyOverFullCoefficientsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsSCAlgebraObjSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCAlgebraObjSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="algsc" name="IsSCAlgebraObjSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="IsFullSCAlgebra">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/arith.omdoc b/content/http..www.gap-system.org/lib/arith.omdoc
deleted file mode 100644
index b618d6f4bc969b8861ba924424d9b06740d4417f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/arith.omdoc
+++ /dev/null
@@ -1,7983 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="arith" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsExtAElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithInverse_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithInverse_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithInverse_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithOne_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithOne_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithOne_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverse_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverse_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverse_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverse_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZDFRE_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditivelyCommutativeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditivelyCommutativeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditivelyCommutativeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditivelyCommutativeElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCommutativeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCommutativeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCommutativeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCommutativeElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedJacobianElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsGeneralizedRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedRowVector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOddAdditiveNestingDepthObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMultiplicativeElementWithInverseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="*">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="InverseSameMutability">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="%2F">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMultiplicativeElementWithInverseTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsUFDFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrderElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIdempotent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Characteristic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Comm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverseCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsExtLElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeGeneralizedRowVector_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroSameMutability">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOneCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsOrdinaryMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryMatrix_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOrdinaryMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithInverseCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverseCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsZeroSquaredElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsCommutativeFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithOneCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsExtAElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithZeroCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsVectorTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><constant name="OneImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormedRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingElementWithInverseCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="^">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOneCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="NestingDepthM">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearRingElementFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementFamily_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearRingElementFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="AdditiveInverseImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Int">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOneList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearAdditiveElementWithZeroList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsVectorCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="AdditiveInverseMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithInverseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="NestingDepthA">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementWithZeroCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearAdditiveElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsVectorCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Sqrt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="LieBracket">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOneTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearAdditiveElementWithZeroTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearAdditiveElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="LeftQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?trans"></import><constant name="InverseMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsOddAdditiveNestingDepthObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Order">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMultiplicativeElementWithOneList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="OneMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Rat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AdditiveInverseSameMutability">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="mod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithOneTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingElementWithInverseTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="UnderlyingElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsLieMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieMatrix_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsLieMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithInverseCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingElementFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRingElementFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementFamily_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRingElementFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementFamily_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRingElementFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSkewFieldFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOneCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverseTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithOneCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithOneTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="AdditiveElementAsMultiplicativeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtAElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingElementCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsVectorList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverseCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="+">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithOneList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMatrixCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixCollection_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMatrixCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="-">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithInverseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="AdditiveElementsAsMultiplicativeElementsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?float"></import><constant name="Log">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OneSameMutability">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithInverseCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?reesmat"></import><constant name="IsOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementWithZeroTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ZeroImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithInverseCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ZeroMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithInverseCollCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="Root">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearAdditiveElementWithInverseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsExtRElementList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearAdditiveElementWithInverseTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithZeroList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementAsMultiplicativeElementRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementAsMultiplicativeElementRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElementAsMultiplicativeElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementAsMultiplicativeElementRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElementAsMultiplicativeElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementAsMultiplicativeElementRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElementAsMultiplicativeElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveElementAsMultiplicativeElementRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElementAsMultiplicativeElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingElementWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsOddAdditiveNestingDepthFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingElementWithOneCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveElementWithZeroCollColl">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNearRingElementWithInverseTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/basis.omdoc b/content/http..www.gap-system.org/lib/basis.omdoc
deleted file mode 100644
index 1b9ffb440a72d9a133fcf919c4c97c8a809e6f0e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/basis.omdoc
+++ /dev/null
@@ -1,1879 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="basis" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?module"></import><constant name="UglyVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasis_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="BasisVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSemiEchelonized">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsSmallList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsSmallList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisByNiceBasis_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NiceBasisNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Basis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IteratorByBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NiceFreeLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsBasisWithReplacedLeftModuleRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisWithReplacedLeftModuleRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisWithReplacedLeftModuleRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisWithReplacedLeftModuleRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasisWithReplacedLeftModuleRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><constant name="IsGenericFiniteSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericFiniteSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsGenericFiniteSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="EnumeratorByBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegralBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRelativeBasisDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRelativeBasisDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsRelativeBasisDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRelativeBasisDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsRelativeBasisDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="BasisNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFullMatrixModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NiceFreeLeftModuleInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SiftedVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Coefficients">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFullRowModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="IsFiniteBasisDefault">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsSpaceOfRationalFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfRationalFunctions_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsSpaceOfRationalFunctions"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NiceVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StructureConstantsTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NiceBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNormalBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonBasisNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LinearCombination">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelativeBasisNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelativeBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/basismut.omdoc b/content/http..www.gap-system.org/lib/basismut.omdoc
deleted file mode 100644
index ec8f882f88db16bf2de95743839ca1cb693761b0..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/basismut.omdoc
+++ /dev/null
@@ -1,92 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="basismut" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsMutableBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsContainedInSpan">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NrBasisVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?module"></import><constant name="ImmutableBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsMutableBasisViaNiceMutableBasisRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutableBasisViaNiceMutableBasisRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basismut" name="IsMutableBasisViaNiceMutableBasisRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="CloseMutableBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="MutableBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutableBasisByImmutableBasisRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutableBasisByImmutableBasisRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="basismut" name="IsMutableBasisByImmutableBasisRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/clas.omdoc b/content/http..www.gap-system.org/lib/clas.omdoc
deleted file mode 100644
index b045eb69d9040448aa881a3484507f2320dad306..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/clas.omdoc
+++ /dev/null
@@ -1,1106 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="clas" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?oprt"></import><constant name="IsRationalClassGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DecomposedRationalClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalClassPermGroupRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsRationalClassGroupRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbitByStabilizerRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="ConjugacyClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RationalClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassPermGroupRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsConjugacyClassGroupRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/coll.omdoc b/content/http..www.gap-system.org/lib/coll.omdoc
deleted file mode 100644
index b7a4847aaf403340da5da0a9f7bd6f6ae719d85b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/coll.omdoc
+++ /dev/null
@@ -1,512 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="coll" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsListOrCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCollection_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?float"></import><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="IsFinite">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonTrivial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoneIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWholeFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Randomizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="CollectionsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Difference">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeSize">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="ElementsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilySortElements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UseFactorRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="NextIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Union2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativeSmallest">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PseudoRandomSeed">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmpty">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIteratorByFunctionsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsIteratorByFunctionsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsIteratorByFunctionsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IteratorSorted">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SumOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CheapRandomizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyCompareElements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PseudoRandom">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProductOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UseIsomorphismRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSSortedListNonstored">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByFunctionsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByFunctionsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsEnumeratorByFunctionsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="ForAllOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Enumerator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Iterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FilteredOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIteratorByFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsIterator"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsIteratorByFunctionsRep"></om:OMS>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="NumberOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EnumeratorSorted">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeIsSubset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="ListOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Size">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CheapRandomizerAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ForAnyOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Intersection2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="IsEnumeratorByFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsEnumeratorByFunctionsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="AsSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsStandardIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><import from="http://www.gap-system.org/lib?random"></import><constant name="Random">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Representative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RandomizerAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UseSubsetRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/combinat.omdoc b/content/http..www.gap-system.org/lib/combinat.omdoc
deleted file mode 100644
index ebdbe3392fe8c21a271a99455e89109d558e90be..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/combinat.omdoc
+++ /dev/null
@@ -1,17 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="combinat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="Permanent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="LucasMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/csetgrp.omdoc b/content/http..www.gap-system.org/lib/csetgrp.omdoc
deleted file mode 100644
index f8049aaeabc4f70db6dc577d42fe0d5b3f445c1e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/csetgrp.omdoc
+++ /dev/null
@@ -1,1397 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="csetgrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="ComputedAscendingChains">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="IsRightTransversalViaCosetsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalViaCosetsRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightTransversalViaCosetsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?extrset"></import><constant name="IsDoubleCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCoset_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LeftActingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightCosetsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?oprt"></import><constant name="IsRightCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCoset_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightCosetDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsRightCoset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DoubleCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightCoset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DoubleCosetRepsAndSizes">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalRightCosetElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AscendingChainOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDoubleCosetDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCosetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsDoubleCoset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="RightActingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DoubleCosetsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFactoredTransversalRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetgrp" name="IsFactoredTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativesContainedRightCosets">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/csetpc.omdoc b/content/http..www.gap-system.org/lib/csetpc.omdoc
deleted file mode 100644
index 7498372244d52c93f02a3fa9beeee7638e9d9edc..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/csetpc.omdoc
+++ /dev/null
@@ -1,123 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="csetpc" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="IsRightTransversalPcGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPcGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetpc" name="IsRightTransversalPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/csetperm.omdoc b/content/http..www.gap-system.org/lib/csetperm.omdoc
deleted file mode 100644
index a6a870bf96f33095128c75e1ed36d5b4fa7ba1cf..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/csetperm.omdoc
+++ /dev/null
@@ -1,123 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="csetperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="IsRightTransversalPermGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalPermGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="csetperm" name="IsRightTransversalPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctbl.omdoc b/content/http..www.gap-system.org/lib/ctbl.omdoc
deleted file mode 100644
index 62e5248cc691213e416e12c540a1de4776279b23..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctbl.omdoc
+++ /dev/null
@@ -1,813 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctbl" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsNearlyCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCharacterTable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsNearlyCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryTable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsOrdinaryTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsNearlyCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdinaryTable_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsOrdinaryTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfSolvableResiduum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FactorsOfDirectProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfUpperCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCharacterTableInProgress">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCharacterTableInProgress_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsCharacterTableInProgress"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsNearlyCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfSupersolvableResiduum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><import from="http://www.gap-system.org/lib?permutat"></import><constant name="CharacterTableWithSortedClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="IsPSolvableCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="LinearCharacters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RealClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfSolvableRadical">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericCharacterTableRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGenericCharacterTableRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsGenericCharacterTableRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsNearlyCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfElementaryAbelianSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrdinaryCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?tom"></import><constant name="Identifier">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="CharacterTableIsoclinic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingCharacteristic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterTableFactorGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Indicator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfMaximalNormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Irr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterTableWithSortedCharacters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfAgemo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimeBlocksOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassOrbit">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SizesCentralizers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedPrimeBlockss">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SizesConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassParameters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterParameters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSupersolvableCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedIndicators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfPCore">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DisplayOptions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPermutation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndicatorOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortedCharacters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedIsPSolvableCharacterTables">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BrauerTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfNormalClosure">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBrauerTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBrauerTable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsBrauerTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsNearlyCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBrauerTable_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsBrauerTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsCharacterTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DecompositionMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BrauerTableOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterNames">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfLowerCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AutomorphismsOfTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrdersClassRepresentatives">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterTableDirectProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfCentre">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfDerivedSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IBr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSporadicSimpleCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfDirectProductDecompositions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSolvableCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimeBlocks">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfFittingSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfMinimalNormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IdentificationOfConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacterDegrees">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedBrauerTables">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsLibraryCharacterTableRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLibraryCharacterTableRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsLibraryCharacterTableRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLibraryCharacterTableRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctbl" name="IsLibraryCharacterTableRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPSolvableCharacterTableOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfNormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalSubgroupClassesInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassRoots">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SourceOfIsoclinicTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSimpleCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassNames">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BlocksInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpotentCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?record"></import><constant name="CompatibleConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlmostSimpleCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblauto.omdoc b/content/http..www.gap-system.org/lib/ctblauto.omdoc
deleted file mode 100644
index a103c08961462bcd3f4e560a799d2954d75883e5..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblauto.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblauto" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="TransformingPermutations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?permutat"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="MatrixAutomorphisms">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="TransformingPermutationsCharacterTables">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="TableAutomorphisms">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblfuns.omdoc b/content/http..www.gap-system.org/lib/ctblfuns.omdoc
deleted file mode 100644
index 8c47f585b793a917782c6c6b7bc3ae8cc4f0dc76..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblfuns.omdoc
+++ /dev/null
@@ -1,1649 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblfuns" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsClassFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunction_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="IsCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="CycleStructureClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Symmetrizations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedCharacters">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="ClassFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CorrespondingPermutations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Character">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BrauerCharacterValue">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentreOfCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsClassFunctionsSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsClassFunctionsSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ctblfuns" name="IsClassFunctionsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Tensored">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Restricted">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConstituentsOfCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="VirtualCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedClassFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MatScalarProducts">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="InducedClassFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIrreducibleCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedClassFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InertiaSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EigenvaluesChar">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ValuesOfClassFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GlobalPartitionOfClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="PermutationCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeterminantOfCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassPositionsOfKernel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KernelOfCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingCharacterTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TrivialCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedClassFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="InducedCyclic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOfCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsVirtualCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Induced">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedClassFunctions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblgrp.omdoc b/content/http..www.gap-system.org/lib/ctblgrp.omdoc
deleted file mode 100644
index 3ae171483fa5f172703dc5e9fd97e73fd2396676..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblgrp.omdoc
+++ /dev/null
@@ -1,25 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblgrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?record"></import><constant name="IrrDixonSchneider">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DxPreparation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DixonRecord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblmaps.omdoc b/content/http..www.gap-system.org/lib/ctblmaps.omdoc
deleted file mode 100644
index f6ff4a1c4768102330637c723202b5af63787ba0..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblmaps.omdoc
+++ /dev/null
@@ -1,73 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblmaps" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="ComputedClassFusions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?mapping"></import><constant name="FusionConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedPowerMaps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><import from="http://www.gap-system.org/lib?record"></import><constant name="PossiblePowerMaps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerMapOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NamesOfFusionSources">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FusionConjugacyClassesOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerMap">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PossibleClassFusions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblmoli.omdoc b/content/http..www.gap-system.org/lib/ctblmoli.omdoc
deleted file mode 100644
index 527e5a217b767ee8d87cefe3525ae1fad922014c..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblmoli.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblmoli" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="MolienSeriesInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblmono.omdoc b/content/http..www.gap-system.org/lib/ctblmono.omdoc
deleted file mode 100644
index 238306763c629914b08cf415258d10dd8b79b7a1..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblmono.omdoc
+++ /dev/null
@@ -1,129 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblmono" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ctblfuns"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsRelativelySM">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TestSubnormallyMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrimitiveCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TestRelativelySM">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedFromNormalSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TestMonomialQuick">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TestMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Alpha">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Delta">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TestQuasiPrimitive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMinimalNonmonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBergerCondition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="IsMonomialNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuasiPrimitive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubnormallyMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblpope.omdoc b/content/http..www.gap-system.org/lib/ctblpope.omdoc
deleted file mode 100644
index 093c86337329cc0914661acb2be1fafc113c888f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblpope.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblpope" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ctbl"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="Inequalities">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ctblsolv.omdoc b/content/http..www.gap-system.org/lib/ctblsolv.omdoc
deleted file mode 100644
index b2501c753e9601cc73b80803c4728bc988501292..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ctblsolv.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ctblsolv" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="BaumClausenInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IrrBaumClausen">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><constant name="IrreducibleRepresentations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IrrConlon">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/cyclotom.omdoc b/content/http..www.gap-system.org/lib/cyclotom.omdoc
deleted file mode 100644
index 411cf18f27b653ae6dc8624c1cbf895f8d3b7efd..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/cyclotom.omdoc
+++ /dev/null
@@ -1,3657 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="cyclotom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsCyclotomic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclotomic_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyc_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRat_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInt_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosRat_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInfinity_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GaloisCyc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCyc_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsZeroCyc"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPosInt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsPosRat"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsInfinity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfinity_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInfinity"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsRat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyc"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegRat_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="RationalizedMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNegInt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsInt"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsNegRat"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsIntegralCyclotomic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsSmallIntRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSmallIntRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsSmallIntRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GaloisMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RoundCycDown">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RoundCyc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Conductor">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/dict.omdoc b/content/http..www.gap-system.org/lib/dict.omdoc
deleted file mode 100644
index dda8f8f97743602b68c05623fc27b3c607425a7e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/dict.omdoc
+++ /dev/null
@@ -1,1454 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="dict" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="AddDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KnowsDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLookupDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLookupDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLookupDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLookupDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsDictionaryDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionaryDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionaryDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionaryDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDictionaryDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListLookupDictionary_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortDictionary_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsListLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortLookupDictionary_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSortDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SparseIntKey">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ListKeyEnumerator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHash">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsHash_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHash_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHash_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHash_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="PrintHashWithNames">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GetHashEntryAtLastIndex">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DenseIntKey">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseHashRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDenseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="RemoveDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RandomHashKey">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionaryDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionLookupDictionary_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionLookupDictionary"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsPositionDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsLookupDictionary"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSparseHashRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsSparseHashRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="dict" name="IsHash"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="TableHasIntKeyFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="LookupDictionary">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/domain.omdoc b/content/http..www.gap-system.org/lib/domain.omdoc
deleted file mode 100644
index a0da89a83284e6a3b842089c51b744709cffa876..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/domain.omdoc
+++ /dev/null
@@ -1,44 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="domain" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsGeneralizedDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="ParentAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="DomainByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/extaset.omdoc b/content/http..www.gap-system.org/lib/extaset.omdoc
deleted file mode 100644
index 0caeca9ddc8c8c14e0bdc46fd6c3548a6ff59710..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/extaset.omdoc
+++ /dev/null
@@ -1,877 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="extaset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsExtASet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtASet_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpESum_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialAOpEZero_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsTrivialAOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfExtASet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeAOpDSum_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsAssociativeAOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extaset" name="IsExtASet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="AdditivelyActingDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/extlset.omdoc b/content/http..www.gap-system.org/lib/extlset.omdoc
deleted file mode 100644
index c3ed4a10849fcd4f74d555c77818c531b877cc18..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/extlset.omdoc
+++ /dev/null
@@ -1,1640 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="extlset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsExtLSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLSet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLSet_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLSet_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLSet_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtLSet_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeLOpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDSum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpESum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEOne_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnByDivisionRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialLOpEZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftActedOnBySuperset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfExtLSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftActingDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveLOpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/extrset.omdoc b/content/http..www.gap-system.org/lib/extrset.omdoc
deleted file mode 100644
index 0ccf77259a3695dc88281ff0e8971c4c59bba269..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/extrset.omdoc
+++ /dev/null
@@ -1,1805 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="extrset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsExtRSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRSet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRSet_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRSet_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRSet_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtRSet_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnBySuperset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDSum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpESum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEOne_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="RightActingDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfExtRSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialROpEZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightActedOnByDivisionRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeROpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveROpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/extuset.omdoc b/content/http..www.gap-system.org/lib/extuset.omdoc
deleted file mode 100644
index 55928318c1d6e3064cfa34352561eb38dc17ca6c..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/extuset.omdoc
+++ /dev/null
@@ -1,1632 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="extuset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsExtUSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtUSet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtUSet_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtUSet_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtUSet_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExtUSet_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEOne_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extrset"></import><constant name="UpperActingDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDSum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpESum_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpESum"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialUOpEZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsTrivialUOpEZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpEProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfExtUSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociativeUOpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsAssociativeUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnBySuperset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnBySuperset"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDistributiveUOpDProd_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsDistributiveUOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperActedOnByGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsUpperActedOnByGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extuset" name="IsExtUSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/factgrp.omdoc b/content/http..www.gap-system.org/lib/factgrp.omdoc
deleted file mode 100644
index e53d74d390225ecf5cd6294ba784c5a828cb696c..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/factgrp.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="factgrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="FindActionKernel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FactorCosetAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismsPool">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DoCheapActionImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fastendo.omdoc b/content/http..www.gap-system.org/lib/fastendo.omdoc
deleted file mode 100644
index 368f3f5a355a227874d878bd882550eb224b0ffe..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fastendo.omdoc
+++ /dev/null
@@ -1,50 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fastendo" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsTransformationRepOfEndo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTransformationRepOfEndo_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fastendo" name="IsTransformationRepOfEndo"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTransformationRepOfEndo_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fastendo" name="IsTransformationRepOfEndo"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="TransformationRepresentation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ffe.omdoc b/content/http..www.gap-system.org/lib/ffe.omdoc
deleted file mode 100644
index 06baf283fde192326f7472ea939bd94b617c821d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ffe.omdoc
+++ /dev/null
@@ -1,1176 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ffe" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFE_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLogOrderedFFE_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLogOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="AsInternalFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IntFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="DIFF_FFE_LARGE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="LargeGaloisField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLexOrderedFFE_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsLexOrderedFFE"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="RootFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QUO_FFE_LARGE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IntFFESymm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LogFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SUM_FFE_LARGE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="IntVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PROD_FFE_LARGE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ffeconway.omdoc b/content/http..www.gap-system.org/lib/ffeconway.omdoc
deleted file mode 100644
index 33be60f42928856be78961a891145518cf2ba15a..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ffeconway.omdoc
+++ /dev/null
@@ -1,24 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ffeconway" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsCoeffsModConwayPolRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCoeffsModConwayPolRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ffeconway" name="IsCoeffsModConwayPolRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/field.omdoc b/content/http..www.gap-system.org/lib/field.omdoc
deleted file mode 100644
index 8b8caae488f36d39596f4debd8af1f02ae90cf84..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/field.omdoc
+++ /dev/null
@@ -1,2303 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="field" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><constant name="IsField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="RealPart">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DivisionRingByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalBase">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Conjugates">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClosureDivisionRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsFieldControlledByGaloisGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st44">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st45">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st46">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st47">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st48">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st49">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st50">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st51">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st52">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldControlledByGaloisGroup_st53">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldControlledByGaloisGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PrimeField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="TracePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FieldOverItselfByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsFieldElementsSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldElementsSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsFieldElementsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DefaultFieldByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DefiningPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOverPrimeField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FrobeniusAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsDivisionRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimitiveRoot">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Subfields">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NthRoot">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComplexConjugate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimitiveElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrimeField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?clas"></import><constant name="GaloisGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctblfuns"></import><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="Norm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImaginaryPart">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RootOfDefiningPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfDivisionRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="FieldExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Trace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fieldfin.omdoc b/content/http..www.gap-system.org/lib/fieldfin.omdoc
deleted file mode 100644
index dedb783e0014aff4d113ac85a909ff441b1f44fc..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fieldfin.omdoc
+++ /dev/null
@@ -1,566 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fieldfin" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsFrobeniusAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="IsFieldHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFrobeniusAutomorphism_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsFrobeniusAutomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="IsFieldHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisFiniteFieldRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisFiniteFieldRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsBasisFiniteFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisFiniteFieldRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fieldfin" name="IsBasisFiniteFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/files.omdoc b/content/http..www.gap-system.org/lib/files.omdoc
deleted file mode 100644
index 6ff994428bd5dd3ff46aeb7771cf165f78da6853..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/files.omdoc
+++ /dev/null
@@ -1,69 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="files" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?string"></import><constant name="ReadAsFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Directory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsDirectoryRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectoryRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="files" name="IsDirectoryRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDirectory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Read">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="Filename">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalFilename">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fitfree.omdoc b/content/http..www.gap-system.org/lib/fitfree.omdoc
deleted file mode 100644
index eaf5a36c36c1b29bbedb5b2fad1618688e3d8b0f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fitfree.omdoc
+++ /dev/null
@@ -1,998 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fitfree" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="ChiefSeriesTF">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="CanComputeFittingFree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelySimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelySimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsFinitelyGeneratedGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsFinitelyGeneratedGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSubsetLocallyFiniteGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeFittingFree_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSubsetLocallyFiniteGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DirectFactorsFittingFreeSocle">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FittingFreeLiftSetup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="RecogDecompinfoHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fldabnum.omdoc b/content/http..www.gap-system.org/lib/fldabnum.omdoc
deleted file mode 100644
index 27f108f37a7dae090ed2cb04d0d44b0325f2fa12..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fldabnum.omdoc
+++ /dev/null
@@ -1,1976 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fldabnum" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsCanonicalBasisAbelianNumberFieldRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAbelianNumberFieldRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisAbelianNumberFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisAbelianNumberFieldRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisAbelianNumberFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisCyclotomicFieldRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisCyclotomicFieldRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisCyclotomicFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisCyclotomicFieldRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisCyclotomicFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisCyclotomicFieldRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisCyclotomicFieldRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsCanonicalBasisAbelianNumberFieldRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><constant name="IsCyclotomicField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsANFAutomorphismRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsANFAutomorphismRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsANFAutomorphismRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsANFAutomorphismRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsANFAutomorphismRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GaloisStabilizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsGaussianRationals">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st44">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st45">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st46">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st47">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st48">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st49">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st50">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st51">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st52">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st53">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st54">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st55">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st56">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st57">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st58">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsIntegralRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianRationals_st59">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsGaussianRationals"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="ExponentOfPowering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsANFAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="IsFieldHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="IsFieldHomomorphism"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="fldabnum" name="IsANFAutomorphismRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsNumberField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?field"></import><constant name="IsRationals">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsNonTrivial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsPrimeField"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="field" name="IsPrimeField"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/float.omdoc b/content/http..www.gap-system.org/lib/float.omdoc
deleted file mode 100644
index 2d734aa26d98dfca3147896cf475bf1b5e40ad6b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/float.omdoc
+++ /dev/null
@@ -1,3195 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="float" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloat_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="AbsoluteValue">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Coth">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EqFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPInfinity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Csc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Round">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Frac">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Log10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNInfinity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BisectInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrecisionFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FrExp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Expm1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Zeta">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Tan">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Erf">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sec">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsFloatInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatInterval_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloat_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsComplexFloatInterval_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloatInterval"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsComplexFloat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MakeFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComplexI">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sinh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IncreaseInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelativeDiameter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cosh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Exp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Exp2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDisjoint">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsFloatPseudoField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPseudoField_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaN">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Atan">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cot">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Square">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cos">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="IsFloatRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatRationalFunction_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Log1p">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Argument">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Asin">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cyc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Ceil">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Overlaps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SinCos">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Gamma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Trunc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Atan2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CubeRoot">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sin">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Inf">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SignFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Acosh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Acos">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sech">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AbsoluteDiameter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NewFloat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LdExp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Tanh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ValueInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RootsFloatOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Log2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Floor">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Mid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BlowupInterval">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Exp10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsXInfinity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFloatUnivariatePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Asinh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Csch">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Atanh">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Hypothenuse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fpmon.omdoc b/content/http..www.gap-system.org/lib/fpmon.omdoc
deleted file mode 100644
index 7723adace63e3f02ef3e14aeb04bc98cfe4e6b88..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fpmon.omdoc
+++ /dev/null
@@ -1,250 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fpmon" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsElementOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpMonoid_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpMonoid_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpMonoid_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpMonoid_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpMonoid_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="FreeGeneratorsOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FpMonoidOfElementOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubmonoidFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="FreeMonoidOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?word"></import><constant name="ElementOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelationsOfFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsWholeFamily"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsWholeFamily"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpmon" name="IsElementOfFpMonoid"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/fpsemi.omdoc b/content/http..www.gap-system.org/lib/fpsemi.omdoc
deleted file mode 100644
index 13097db4a99bab2e09a9ea177747a3f7d8af87a6..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/fpsemi.omdoc
+++ /dev/null
@@ -1,234 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="fpsemi" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsElementOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpSemigroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpSemigroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpSemigroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpSemigroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?word"></import><constant name="ElementOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="RelationsOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeSemigroupOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FpSemigroupOfElementOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FpGrpMonSmgOfFpGrpMonSmgElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsWholeFamily"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsWholeFamily"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="FreeGeneratorsOfFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsemigroupFpSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="fpsemi" name="IsElementOfFpSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/function.omdoc b/content/http..www.gap-system.org/lib/function.omdoc
deleted file mode 100644
index 133c09b6d5b87e7e6c421873c2c20a70cf42eacd..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/function.omdoc
+++ /dev/null
@@ -1,59 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="function" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="NameFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsOperation_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="function" name="IsOperation"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="function" name="IsFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="CallFuncList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NumberArgumentsFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/galois.omdoc b/content/http..www.gap-system.org/lib/galois.omdoc
deleted file mode 100644
index 1ea5755f3a3f409e019514fe721e032b4f24c917..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/galois.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="galois" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="GaloisType">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/gaussian.omdoc b/content/http..www.gap-system.org/lib/gaussian.omdoc
deleted file mode 100644
index a09a8c755612c2b359755cd6b551f805c7c61b39..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/gaussian.omdoc
+++ /dev/null
@@ -1,42 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="gaussian" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsCanonicalBasisGaussianIntegersRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisGaussianIntegersRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gaussian" name="IsCanonicalBasisGaussianIntegersRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisGaussianIntegersRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gaussian" name="IsCanonicalBasisGaussianIntegersRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ghom.omdoc b/content/http..www.gap-system.org/lib/ghom.omdoc
deleted file mode 100644
index 4cd5aea6f7d3d17e908fb0d221ce9434955a38af..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ghom.omdoc
+++ /dev/null
@@ -1,1178 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ghom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugatorIsomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugatorAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsConjugatorIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsConjugatorIsomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreimagesByAsGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="NaturalHomomorphismByNormalSubgroupNCOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugatorAutomorphismNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugatorOfConjugatorIsomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="GroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InnerAutomorphismNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImagesSmallestGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugatorIsomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RegularActionHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismByNormalSubgroupNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MappingOfWhichItIsAsGGMBI">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismByNormalSubgroupNCInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupGeneralMappingByImagesNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GroupHomomorphismByImagesNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInnerAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ghomfp.omdoc b/content/http..www.gap-system.org/lib/ghomfp.omdoc
deleted file mode 100644
index 1300fedf372fcbe368e32c6c7fe808fd3a7be215..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ghomfp.omdoc
+++ /dev/null
@@ -1,2180 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ghomfp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="Extrarankfilter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsFromFpGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMapping_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="Extrarankfilter"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?ghom"></import><constant name="IsFromFpGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="Extrarankfilter"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupGeneralMappingByImages_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="Extrarankfilter"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensGeneralMappingByImages_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupStdGensHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupStdGensGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="EpimorphismFromFreeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="CosetTableFpHom">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWordDecompHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFromFpGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsFromFpGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?grpfp"></import><constant name="IsomorphismSimplifiedFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?oper"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsModuloPcgsFpGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oper" name="IsNoImmediateMethodsObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsFpGroupRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsModuloPcgsFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToFpGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomfp" name="IsToFpGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ghompcgs.omdoc b/content/http..www.gap-system.org/lib/ghompcgs.omdoc
deleted file mode 100644
index f7a71fabfca6bd9bbf85d72f40e8b54b67d67249..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ghompcgs.omdoc
+++ /dev/null
@@ -1,2059 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ghompcgs" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><import from="http://www.gap-system.org/lib?ghom"></import><constant name="IsToPcGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPcGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsGroupGeneralMappingByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupGeneralMappingByPcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcGroupGeneralMappingByImages_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsGroupGeneralMappingByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsGeneralMappingByImages_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsToPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalHomomorphismPcGroupRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsNaturalHomomorphismPcGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsToPcgsHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcgsToPcgsGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsPcGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghompcgs" name="IsPcGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="NaturalIsomorphismByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ghomperm.omdoc b/content/http..www.gap-system.org/lib/ghomperm.omdoc
deleted file mode 100644
index 590d139dcb57aa2b93c0f984a434c0edc71f79fc..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ghomperm.omdoc
+++ /dev/null
@@ -1,1581 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ghomperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><import from="http://www.gap-system.org/lib?ghom"></import><import from="http://www.gap-system.org/lib?oprt"></import><constant name="IsBlocksOfActionHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksOfActionHomomorphism_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsBlocksOfActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMapping_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupGeneralMappingByImages_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsToPermGroupGeneralMappingByImages_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsPermGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsToPermGroupHomomorphismByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMS base="http://www.gap-system.org/lib" module="ghomperm" name="IsToPermGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/gpprmsya.omdoc b/content/http..www.gap-system.org/lib/gpprmsya.omdoc
deleted file mode 100644
index 2d183c87d3534163ea5e7c5203515f3fbf643c0f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/gpprmsya.omdoc
+++ /dev/null
@@ -1,57 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="gpprmsya" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?permutat"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsNaturalSymmetricGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlternatingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricParentGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlternatingSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitStabilizingParentGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalAlternatingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/gprd.omdoc b/content/http..www.gap-system.org/lib/gprd.omdoc
deleted file mode 100644
index 39eb47b08788eb9f70dd83fa804ad2ac2434856e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/gprd.omdoc
+++ /dev/null
@@ -1,467 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="gprd" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="WreathProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsPcgsDirectProductRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsDirectProductRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsPcgsDirectProductRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsDirectProductRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsPcgsDirectProductRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsDirectProductRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsPcgsDirectProductRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DirectProductInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsWreathProductElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="StandardWreathProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="FreeProductOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WreathProductInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DirectProductOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubdirectProductInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeProductInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="SubdirectProductOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemidirectProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemidirectProductInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductElementDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="gprd" name="IsWreathProductElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/gprdmat.omdoc b/content/http..www.gap-system.org/lib/gprdmat.omdoc
deleted file mode 100644
index 9724c329e27498d745dbaea56f8eec5105dac1b0..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/gprdmat.omdoc
+++ /dev/null
@@ -1,1384 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="gprdmat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsEmbeddingDirectProductMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductMatrixGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductMatrixGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsProjectionDirectProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductMatrixGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdmat" name="IsEmbeddingImprimitiveWreathProductMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/gprdperm.omdoc b/content/http..www.gap-system.org/lib/gprdperm.omdoc
deleted file mode 100644
index adcd753af01da03c94f29e7923135f5442b191a9..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/gprdperm.omdoc
+++ /dev/null
@@ -1,2839 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="gprdperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsEmbeddingDirectProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingDirectProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionDirectProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionDirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingWreathProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingImprimitiveWreathProductPermGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingImprimitiveWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectionSubdirectProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsProjectionSubdirectProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ghom"></import><constant name="IsEmbeddingProductActionWreathProductPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsGroupGeneralMappingByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingProductActionWreathProductPermGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingProductActionWreathProductPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="gprdperm" name="IsEmbeddingWreathProductPermGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/groebner.omdoc b/content/http..www.gap-system.org/lib/groebner.omdoc
deleted file mode 100644
index 24a58b94f8d62a7d9d16d1f0fca9d9516760ac59..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/groebner.omdoc
+++ /dev/null
@@ -1,238 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="groebner" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsMonomialOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsMonomialOrderingDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialOrderingDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="groebner" name="IsMonomialOrderingDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialOrderingDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="groebner" name="IsMonomialOrderingDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialOrderingDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="groebner" name="IsMonomialOrderingDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialOrderingDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="groebner" name="IsMonomialOrderingDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="groebner" name="IsMonomialOrdering"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MonomialComparisonFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?ratfun"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ideal"></import><constant name="ReducedGroebnerBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroebnerBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StoredGroebnerBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingTermOfPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingCoefficientOfPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OccuringVariableIndices">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MonomialExtrepComparisonFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRingIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ideal" name="LeftActingRingOfIdeal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ideal" name="RightActingRingOfIdeal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="LeadingMonomialOfPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grp.omdoc b/content/http..www.gap-system.org/lib/grp.omdoc
deleted file mode 100644
index 6bcc0adafec030ebd29f3d4d9cd6668bd6d991b7..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grp.omdoc
+++ /dev/null
@@ -1,1528 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="NaturalHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RationalClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedPRumps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="IsPSolvable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedSylowComplements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PRump">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedAgemos">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SylowSubgroupOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativesPerfectSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="IsomorphismFpGroupByCompositionSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SylowSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Normalizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightTransversal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalClosureInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="IsomorphismFpGroupByGeneratorsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="ConjugateSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="CanComputeSizeAnySubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeSizeAnySubgroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="CanComputeSizeAnySubgroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanComputeSize"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSolvableGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalClosureOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GrowthFunctionOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversal_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversal_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPNilpotentOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightTransversalInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndependentGeneratorsOfAbelianGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsRightTransversalRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedHallSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFinitelyGeneratedGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugateGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RankPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrefrattiniSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="AbelianInvariants">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetLocallyFiniteGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CosetTableNormalClosure">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MinimalGeneratingSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedSylowSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HallSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPSolvableOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimePowerComponents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoreInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComplementSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CommutatorFactorGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsSmallest">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputeWithIndependentGensAbelianGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Index">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PRumpOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSporadicSimpleGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CosetTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugacyClassesSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OmegaOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubnormal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlmostSimpleGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndexInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugacyClassesPerfectSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KnowsHowToDecompose">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SylowSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FrattiniSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupOfFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?semirel"></import><constant name="IsomorphismPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="JenningsSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyTestMembership">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="DerivedSeriesOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCore">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndexOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementaryAbelian">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpGroupBySubnormalSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCoreOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalClosure">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LowIndexSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LargestElementGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNormal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RadicalGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugateSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FactorGroupNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DerivedSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCyclic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCharacteristicSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNormalOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClassMultiplicationCoefficient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedPCentralSeriess">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndexInWholeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanComputeIndex">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UpperCentralSeriesOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Exponent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IntermediateSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralizerModulo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalAbelianQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubnormalSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NrConjugacyClassesInSupergroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Core">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryAbelianSeriesLargeSteps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MinimalNormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LowerCentralSeriesOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NrConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightTransversalOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HallSubgroupOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismTypeInfoFiniteSimpleGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AgemoOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClosureGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Socle">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerMapOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalSubgroupClassReps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalIntersection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CommutatorLength">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChiefSeriesThrough">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalizerOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedPCores">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalNormalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LatticeSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSupersolvableGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismSpecialPcGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismPcGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HirschLength">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCentralSeriesOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalHallSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativesSimpleSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedOmegas">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPNilpotent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SylowComplementOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedIsPNilpotents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpotentGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CommutatorSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupString">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SylowComplement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HallSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubnormalSeriesInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PerfectResiduum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SmallGeneratingSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimePGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChiefSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FittingSubgroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalMaximalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoreOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CompositionSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EulerianFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalizerInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InvariantForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DerivedLength">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NilpotencyClassOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubnormalSeriesOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryAbelianSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SupersolvableResiduum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugacyClassesMaximalSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSimpleGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndexNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChiefSeriesUnderAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndependentGeneratorExponents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Factorization">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfectGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismFpGroupByChiefSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugacyClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfiniteAbelianizationGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="PrimePowerComponent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="Omega">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedIsPSolvables">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PClassPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementTestFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNormalInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DimensionsLoewyFactors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupWithGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpffmat.omdoc b/content/http..www.gap-system.org/lib/grpffmat.omdoc
deleted file mode 100644
index eab7128f1aa98cd557ac5449433035ce151edb43..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpffmat.omdoc
+++ /dev/null
@@ -1,117 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpffmat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?ffe"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsFFEMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ffe" name="IsFFE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpfp.omdoc b/content/http..www.gap-system.org/lib/grpfp.omdoc
deleted file mode 100644
index ddc0f9ba946c98ff1b0a64472246aaa05809ab51..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpfp.omdoc
+++ /dev/null
@@ -1,3005 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpfp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="TryCosetTableInWholeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="IsSubgroupFgGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFgGroup_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupFpGroup_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FreeGeneratorsOfWholeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="IsRightTransversalFpGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightTransversalFpGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsRightTransversalFpGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsRightTransversalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFpGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsElementOfFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FpElmComparisonMethod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFgGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupOfWholeGroupByQuotientRep_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupOfWholeGroupByQuotientRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesInvolutaryGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StoredExcludedOrders">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FpElementNFFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="LowIndexSubgroupsFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelatorsOfFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsGroupOfFamily"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpfp" name="IsSubgroupFpGroup"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="FreeGroupOfFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CosetTableNormalClosureInWholeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FPFaithHom">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FpElmEqualityMethod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeGeneratorsOfFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?word"></import><constant name="ElementOfFpGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LowIndexSubgroupsFpGroupIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CosetTableInWholeGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSubgroupOfWholeGroupByQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grplatt.omdoc b/content/http..www.gap-system.org/lib/grplatt.omdoc
deleted file mode 100644
index 836e0c16212e87ebade30e1c4f7a30d2c462513b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grplatt.omdoc
+++ /dev/null
@@ -1,532 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grplatt" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?oprt"></import><constant name="IsConjugacyClassSubgroupsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="ConjugacyClassSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLatticeSubgroupsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLatticeSubgroupsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsLatticeSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLatticeSubgroupsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsLatticeSubgroupsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MinimalSupergroupsLattice">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?clas"></import><constant name="IsConjugacyClassSubgroupsByStabilizerRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="clas" name="IsExternalOrbitByStabilizerRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConjugacyClassSubgroupsByStabilizerRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsByStabilizerRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grplatt" name="IsConjugacyClassSubgroupsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="TomDataAlmostSimpleRecognition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ClassElementLattice">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalSubgroupsLattice">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Zuppos">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpmat.omdoc b/content/http..www.gap-system.org/lib/grpmat.omdoc
deleted file mode 100644
index 40048ea075322f19409b4a91005fedc0957fd37b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpmat.omdoc
+++ /dev/null
@@ -1,554 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpmat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsFullSubgroupGLorSLRespectingBilinearForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralLinearGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFullSubgroupGLorSLRespectingSesquilinearForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FieldOfMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalSL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalGL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InvariantSesquilinearForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubgroupSL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><constant name="IsBlowUpIsomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlowUpIsomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsBlowUpIsomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DefaultFieldOfMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DimensionOfMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InvariantQuadraticForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="TransposedMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpecialLinearGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFullSubgroupGLorSLRespectingQuadraticForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InvariantBilinearForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpnames.omdoc b/content/http..www.gap-system.org/lib/grpnames.omdoc
deleted file mode 100644
index 2552d7474d389affc769098f41f2e71341237714..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpnames.omdoc
+++ /dev/null
@@ -1,201 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpnames" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="DecompositionTypesOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalComplement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StructureDescription">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTrivialNormalIntersection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PSLUnderlyingField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GLDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GLUnderlyingField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AlternatingDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QuaternionGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalComplementNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPSL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PSLDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ParametersOfGroupViewedAsPSL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemidirectFactorsOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ParametersOfGroupViewedAsSL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuasiDihedralGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuaternionGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ParametersOfGroupViewedAsGL">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DihedralGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDihedralGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DirectFactorsOfGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SLUnderlyingField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SLDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QuasiDihedralGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpnice.omdoc b/content/http..www.gap-system.org/lib/grpnice.omdoc
deleted file mode 100644
index 73e80528d91bf6b6be7e806c29fa701af1945f87..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpnice.omdoc
+++ /dev/null
@@ -1,103 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpnice" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="GroupByNiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="NiceObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SeedFaithfulAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalNiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsEnumeratorByNiceomorphismRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByNiceomorphismRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpnice" name="IsEnumeratorByNiceomorphismRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByNiceomorphismRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grpnice" name="IsEnumeratorByNiceomorphismRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalNiceMonomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grppc.omdoc b/content/http..www.gap-system.org/lib/grppc.omdoc
deleted file mode 100644
index 62e56e2b4ddc4d70ba3f2d9656351a048b80eda6..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grppc.omdoc
+++ /dev/null
@@ -1,969 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grppc" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?grp"></import><constant name="CanEasilyComputePcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanComputeSize"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="CanComputeSizeAnySubgroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSolvableGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyComputePcgs_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grppc" name="CanEasilyComputePcgs"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSolvableGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="InducedPcgsOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputedInducedPcgses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SubgroupByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcgsWrtHomePcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OmegaSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsWrtFamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HomePcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcgsWrtFamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Pcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="AffineAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LinearAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneralizedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsWrtHomePcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grppcaut.omdoc b/content/http..www.gap-system.org/lib/grppcaut.omdoc
deleted file mode 100644
index 19b6015cdf0a37245a98228caa236bb8846bbfab..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grppcaut.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grppcaut" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsFrattiniFree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grppccom.omdoc b/content/http..www.gap-system.org/lib/grppccom.omdoc
deleted file mode 100644
index 889241207c55c939e14fe17336c5a684f99fc42b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grppccom.omdoc
+++ /dev/null
@@ -1,17 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grppccom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="ComplementClassesRepresentatives">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComplementClassesRepresentativesSolvableNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grppcext.omdoc b/content/http..www.gap-system.org/lib/grppcext.omdoc
deleted file mode 100644
index ea67cfa13fbb42e970c71e7ad865f9f92168c34e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grppcext.omdoc
+++ /dev/null
@@ -1,81 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grppcext" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?grppc"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="Extension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="CyclicTopExtensions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="SocleComplement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ModuleOfExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SocleDimensions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TopExtensionsByAutomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtensionRepresentatives">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtensionNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Extensions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SplitExtension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grppcnrm.omdoc b/content/http..www.gap-system.org/lib/grppcnrm.omdoc
deleted file mode 100644
index 1f7c5239e1e6938ca923d7230934a1014f0d7a6b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grppcnrm.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grppcnrm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?grppc"></import><constant name="NormalizerInHomePcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpperm.omdoc b/content/http..www.gap-system.org/lib/grpperm.omdoc
deleted file mode 100644
index e2ef7902c6b5cb4bdc2df56023df0cecc782336e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpperm.omdoc
+++ /dev/null
@@ -1,73 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?permutat"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="ONanScottType">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AllBlocks">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="SocleTypePrimitiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransitiveIdentification">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimitiveIdentification">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpramat.omdoc b/content/http..www.gap-system.org/lib/grpramat.omdoc
deleted file mode 100644
index c030342658f3a7e1f0ed24032805f00f8b79d372..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpramat.omdoc
+++ /dev/null
@@ -1,257 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpramat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsCyclotomicMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ZClassRepsQClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InvariantLattice">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BravaisGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegerMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BravaisSupergroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalizerInGLnZBravaisGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?grpmat"></import><constant name="IsNaturalSLnZ">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsNaturalSL"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsNaturalSL"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpramat" name="IsIntegerMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpramat" name="IsIntegerMatrixGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsBravaisGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalMatrixGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralizerInGLnZ">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalizerInGLnZ">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNaturalGLnZ">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsNaturalGL"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpmat" name="IsNaturalGL"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpramat" name="IsIntegerMatrixGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grpramat" name="IsIntegerMatrixGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="BravaisSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grpreps.omdoc b/content/http..www.gap-system.org/lib/grpreps.omdoc
deleted file mode 100644
index 37317d1160e2e7aca1984651c07aece73df00b53..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grpreps.omdoc
+++ /dev/null
@@ -1,25 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grpreps" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="IrreducibleModules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AbsolutIrreducibleModules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RegularModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/grptbl.omdoc b/content/http..www.gap-system.org/lib/grptbl.omdoc
deleted file mode 100644
index 3c4604d4ca4ba6b3040560d7ee941a495d00dce3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/grptbl.omdoc
+++ /dev/null
@@ -1,137 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="grptbl" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="MultiplicationTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMagmaByMultiplicationTableObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaByMultiplicationTableObj_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grptbl" name="IsMagmaByMultiplicationTableObj"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ideal.omdoc b/content/http..www.gap-system.org/lib/ideal.omdoc
deleted file mode 100644
index 7dd7f4239a66a8daada6032a9918911aa6394389..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ideal.omdoc
+++ /dev/null
@@ -1,161 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ideal" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="TwoSidedIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTwoSidedIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsTwoSidedIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftActingRingOfIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightActingRingOfIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightIdealOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfRightIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftIdealInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTwoSidedIdealInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfLeftIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTwoSidedIdealOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsRightIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsLeftIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftIdealOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfTwoSidedIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightIdealInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ieee754.omdoc b/content/http..www.gap-system.org/lib/ieee754.omdoc
deleted file mode 100644
index ccf2a90dddf5902051fff2b6724021627b375b97..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ieee754.omdoc
+++ /dev/null
@@ -1,942 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ieee754" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?module"></import><import from="http://www.gap-system.org/lib?float"></import><constant name="IsIEEE754PseudoField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByDivisionRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754PseudoField_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ieee754" name="IsIEEE754PseudoField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloatPseudoField"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/info.omdoc b/content/http..www.gap-system.org/lib/info.omdoc
deleted file mode 100644
index ed458cc6ba15505fa4d9b210b23628c2e3647a22..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/info.omdoc
+++ /dev/null
@@ -1,71 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="info" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsInfoClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="IsInfoSelector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsSSortedList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsSortedList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="info" name="IsInfoClass"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsInfoClassListRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInfoClassListRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="info" name="IsInfoClassListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="InfoLevel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="NewInfoClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/integer.omdoc b/content/http..www.gap-system.org/lib/integer.omdoc
deleted file mode 100644
index f7da528d68b4d04553057535cbe71fd6d5694519..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/integer.omdoc
+++ /dev/null
@@ -1,3452 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="integer" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="CoefficientsQadic">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsCanonicalBasisIntegersRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisIntegersRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsCanonicalBasisIntegersRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisIntegersRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsCanonicalBasisIntegersRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsGaussianIntegers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFiniteDimensional"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGaussianIntegers_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsGaussianIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFiniteDimensional"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegers_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonnegativeIntegers_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsNonnegativeIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PartialFactorization">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrimeDivisors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositiveIntegers_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="integer" name="IsPositiveIntegers"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/invsgp.omdoc b/content/http..www.gap-system.org/lib/invsgp.omdoc
deleted file mode 100644
index 621e3d8e022212c602a45603770155bf05d43e5d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/invsgp.omdoc
+++ /dev/null
@@ -1,161 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="invsgp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="AsInverseSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseMonoidByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="GeneratorsOfInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneratorsOfInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="NaturalPartialOrder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsInverseSubmonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfInverseMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReverseNaturalPartialOrder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="InverseSubmonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseSubsemigroupNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsInverseMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseSemigroupByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseSubmonoidNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/kbsemi.omdoc b/content/http..www.gap-system.org/lib/kbsemi.omdoc
deleted file mode 100644
index be015599f3884431b4f655783f29340aaaa83bc1..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/kbsemi.omdoc
+++ /dev/null
@@ -1,93 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="kbsemi" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?orders"></import><constant name="KnuthBendixRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsKnuthBendixRewritingSystemRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsKnuthBendixRewritingSystemRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="kbsemi" name="IsKnuthBendixRewritingSystemRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?rws"></import><constant name="IsKnuthBendixRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsKnuthBendixRewritingSystem_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="kbsemi" name="IsKnuthBendixRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKnuthBendixRewritingSystem_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="kbsemi" name="IsKnuthBendixRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="TzRules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/liefam.omdoc b/content/http..www.gap-system.org/lib/liefam.omdoc
deleted file mode 100644
index c12346aae6de8517d8dab0b7da83b412f71666b9..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/liefam.omdoc
+++ /dev/null
@@ -1,1429 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="liefam" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsLieEmbeddingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieEmbeddingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieEmbeddingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieEmbeddingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieEmbeddingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="LieObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LieFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObject_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingRingElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsRestrictedLieObjectCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZeroSquaredElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObjectCollection_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsRestrictedLieObjectCollection"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRestrictedLieObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsRestrictedJacobianElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObject"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="UnderlyingFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsLieObjectsModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLieObjectsModule_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="liefam" name="IsLieObjectsModule"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/lierep.omdoc b/content/http..www.gap-system.org/lib/lierep.omdoc
deleted file mode 100644
index 98c073bd7094f7bc03a3e3565b33637ad4c11740..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/lierep.omdoc
+++ /dev/null
@@ -1,1650 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="lierep" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?alglie"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="DominantCharacter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DominantWeights">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsBasisOfWeightRepElementSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasisOfWeightRepElementSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsBasisOfWeightRepElementSpace"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?algrep"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="Coboundaries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsWeylGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SparseCartanMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?ring"></import><constant name="LatticeGeneratorsInUEA">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositiveRootsAsWeights">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cochain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSearchTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsSearchTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsCochain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochain_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochain"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="WeylOrbitIterator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Cocycles">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsVectorSearchTableDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTableDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTableDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTableDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTableDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTableDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTableDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsSearchTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsVectorSearchTableDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTableDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsVectorSearchTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Search">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WeylGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HighestWeightModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="IsZeroCochainRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCochainRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsZeroCochainRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroCochainRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsZeroCochainRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsPackedElementDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Insert">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUEALatticeElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsUEALatticeElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingUEALatticeMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DecomposeTensorProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DimensionOfHighestWeightModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LongestWeylWordPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightRepElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsWeightRepElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CochainSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsCochainsSpace">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCochainsSpace_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="lierep" name="IsCochainsSpace"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ApplySimpleReflection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugateDominantWeightWithWord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConjugateDominantWeight">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/list.omdoc b/content/http..www.gap-system.org/lib/list.omdoc
deleted file mode 100644
index c438b00aff9c31197aab3e9c2db5c103c2950200..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/list.omdoc
+++ /dev/null
@@ -1,2018 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="list" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsDuplicateFree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsList_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseList_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDenseList_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHomogeneousList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsHomogeneousList_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHomogeneousList_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHomogeneousList_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstantTimeAccessList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstantTimeAccessList_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstantTimeAccessList_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="Shuffle">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSmallList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="PositionSortedOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="IsBound[]">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTable_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatchingSublist">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?permutat"></import><constant name="Permuted">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Position">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRectangularTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?word"></import><constant name="Length">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Append">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Collected">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDuplicateFreeList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="MaximumList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Remove">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sort">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionsProperty">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortingPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortBy">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="{}:=">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="{}">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DuplicateFreeList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Unbind[]">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Compacted">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionBound">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPositionsList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsListDefault_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsListDefault"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PositionsOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReversedOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsRangeRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRangeRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRangeRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuickPositionList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlistRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlistRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsBlistRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsPlistRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="Length"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsPlistRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="[]:=">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sortex">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsDuplicateFreeList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlist">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlist_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsBlist"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlist_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsBlist"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlist_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsBlist"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlist_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsBlist"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Elm0List">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Add">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConstantTimeAccessList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionCanonical">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Flat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PlainListCopyOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Iterated">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StableSortBy">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DifferenceLists">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortParallel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StableSortParallel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionNonZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="IsRange">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditivelyCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="cyclotom" name="IsCyclotomic"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRange_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsRange"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDuplicateFreeCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="PositionNot">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MinimumList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionNthOccurrence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FirstOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionProperty">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionSublist">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StableSort">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsPlist">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?reesmat"></import><constant name="[]">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/listcoef.omdoc b/content/http..www.gap-system.org/lib/listcoef.omdoc
deleted file mode 100644
index 1d8441b9f373df7d8179c1a6540395a7b677ef34..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/listcoef.omdoc
+++ /dev/null
@@ -1,201 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="listcoef" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?ffe"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="AClosestVectorCombinationsMatFFEVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="RemoveOuterCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftShiftRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ShiftedCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ShrinkRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DistanceVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PadCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PowerModCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ValuePol">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WeightVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CosetLeadersMatFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddToListEntries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="MultRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReduceCoeffsMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AClosestVectorCombinationsMatFFEVecFFECoords">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QuotRemCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DistancesDistributionVecFFEsVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReduceCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProductCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightShiftRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DistancesDistributionMatFFEVecFFE">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MultCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoeffsMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/macfloat.omdoc b/content/http..www.gap-system.org/lib/macfloat.omdoc
deleted file mode 100644
index 1e1d60e01842269277e379b02c3b652dd13c544f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/macfloat.omdoc
+++ /dev/null
@@ -1,297 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="macfloat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?float"></import><constant name="IsIEEE754FloatRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIEEE754FloatRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="macfloat" name="IsIEEE754FloatRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="float" name="IsFloat"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/magma.omdoc b/content/http..www.gap-system.org/lib/magma.omdoc
deleted file mode 100644
index 123e066ff82f682ffc904784267e5d61f5db42e3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/magma.omdoc
+++ /dev/null
@@ -1,1557 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="magma" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagma_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MultiplicativeNeutralElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithOne_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInversesIfNonzero_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithInverses_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="IsCommutative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCentral">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfMagmaWithInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSubmagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralizerInParent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfMagmaWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralizerOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneratorsOfMagmaWithInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TrivialSubmagmaWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Centralizer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="MagmaGeneratorsOfFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MagmaByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Idempotents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MagmaWithOneByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MagmaWithInversesByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Centre">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SquareRoots">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mapphomo.omdoc b/content/http..www.gap-system.org/lib/mapphomo.omdoc
deleted file mode 100644
index 49343fda3ba6b0e3d521eac28091bf12c645fba3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mapphomo.omdoc
+++ /dev/null
@@ -1,1161 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mapphomo" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?mapping"></import><constant name="RespectsMultiplication">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RespectsOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RespectsAddition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RespectsAdditiveInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingWithOneHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="RespectsInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsLinearMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RespectsScalarMultiplication">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RespectsZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransformsInversesIntoAdditiveInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="TransformsMultiplicationIntoAddition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransformsAdditionIntoMultiplication">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransformsAdditiveInversesIntoInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveGroupToGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditionIntoMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditionIntoMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditiveInversesIntoInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditiveInversesIntoInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsGroupToAdditiveGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsMultiplicationIntoAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsMultiplicationIntoAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsInversesIntoAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsInversesIntoAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="CoKernelOfMultiplicativeGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KernelOfAdditiveGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFieldHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingWithOneGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAlgebraGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRingHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="TransformsZeroIntoOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveGroupToGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditionIntoMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditionIntoMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditiveInversesIntoInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsAdditiveInversesIntoInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="TranformsOneIntoZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsGroupToAdditiveGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsMultiplicationIntoAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsMultiplicationIntoAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsInversesIntoAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="TransformsInversesIntoAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="KernelOfMultiplicativeGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraWithOneGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsLeftModuleHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAlgebraWithOneHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsLeftModuleGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsScalarMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsAdditiveGroupGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="CoKernelOfAdditiveGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAdditiveGroupHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mapping.omdoc b/content/http..www.gap-system.org/lib/mapping.omdoc
deleted file mode 100644
index c1c9b8f9bb9104afd63164219e64e41e5297d8ff..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mapping.omdoc
+++ /dev/null
@@ -1,1246 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mapping" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTotal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSingleValued">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPGeneralMapping_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEndoGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreImagesRepresentative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreImagesElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsGeneralRestrictedMappingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralRestrictedMappingRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralRestrictedMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPGeneralMapping_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FamilyRange">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Range">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FamiliesOfGeneralMappingsAndRanges">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInjective">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSurjective">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FamilySource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImagesElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="ImagesSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEndoMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="UnderlyingRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MappingGeneratorsImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Source">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImagesSource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IdentityMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><constant name="Projection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImagesRepresentative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CompositionMapping2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreImagesSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstantTimeAccessGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingGeneralMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroMapping">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBijective">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsCompositionMappingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompositionMappingRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsCompositionMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PreImagesRange">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreImageElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Embedding">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImageElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mapprep.omdoc b/content/http..www.gap-system.org/lib/mapprep.omdoc
deleted file mode 100644
index b24a6bf3680dcd6aabea8004f7d0b48fd4854051..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mapprep.omdoc
+++ /dev/null
@@ -1,2498 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mapprep" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><constant name="IsMappingByFunctionRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="Range"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultGeneralMappingRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsDefaultGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="Source"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMappingByFunctionWithInverseRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSPMappingByFunctionWithInverseRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsSPMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSurjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNonSPMappingByFunctionWithInverseRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionWithInverseRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsNonSPMappingByFunctionRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseGeneralMappingRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mapprep" name="IsInverseGeneralMappingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsNonSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mat8bit.omdoc b/content/http..www.gap-system.org/lib/mat8bit.omdoc
deleted file mode 100644
index dd00f72afd0b45931b15465a7ae3db449374c885..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mat8bit.omdoc
+++ /dev/null
@@ -1,297 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mat8bit" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="Is8BitMatrixRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitMatrixRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mat8bit" name="Is8BitMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matblock.omdoc b/content/http..www.gap-system.org/lib/matblock.omdoc
deleted file mode 100644
index 5e3011a7560a560dd7d75090d6f7660086440d95..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matblock.omdoc
+++ /dev/null
@@ -1,32 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matblock" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsBlockMatrixRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlockMatrixRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matblock" name="IsBlockMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="MatrixByBlockMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matint.omdoc b/content/http..www.gap-system.org/lib/matint.omdoc
deleted file mode 100644
index f6942f783e52e72a3ad74944d275ff5dc4a45f09..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matint.omdoc
+++ /dev/null
@@ -1,113 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matint" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="TriangulizeIntegerMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizedIntegerMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="BaseIntMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NullspaceIntMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizedIntegerMatTransform">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SolutionNullspaceIntMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HermiteNormalFormIntegerMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseIntersectionIntMats">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HermiteNormalFormIntegerMatTransform">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SmithNormalFormIntegerMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SmithNormalFormIntegerMatTransforms">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AbelianInvariantsOfList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComplementIntMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SolutionIntMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matobj1.omdoc b/content/http..www.gap-system.org/lib/matobj1.omdoc
deleted file mode 100644
index b5901ef47d575655bb7815ef89ea1a858e9c0f9b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matobj1.omdoc
+++ /dev/null
@@ -1,1053 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matobj1" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMatrixObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMatrixObj_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowVectorObj_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRowListMatrix_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFlatMatrix_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsFlatMatrix"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matobj2.omdoc b/content/http..www.gap-system.org/lib/matobj2.omdoc
deleted file mode 100644
index 3fba564a961a14306b737652ee8b3dc8eda6966a..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matobj2.omdoc
+++ /dev/null
@@ -1,265 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matobj2" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?matobj1"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="Fold">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="CopySubMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="NewRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RowLength">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConstructingFilter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Unpack">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Unfold">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IdentityMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WeightOfVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NewIdentityMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Vector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MatElm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="MultMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChangedBaseDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtractSubMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NewZeroMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?random"></import><constant name="Randomize">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DistanceOfVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="NewCompanionMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NewZeroVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CopySubVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CompatibleMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtractSubVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PositionLastNonZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CompatibleVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProductTransposedMatMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?reesmat"></import><constant name="Matrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CompanionMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NewMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matobjplist.omdoc b/content/http..www.gap-system.org/lib/matobjplist.omdoc
deleted file mode 100644
index b597ad1cf63d03ebd2a49c26ec571e052ba5bc05..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matobjplist.omdoc
+++ /dev/null
@@ -1,529 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matobjplist" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsCheckingVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFFEVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="IsPlistVectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistVectorRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowVectorObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsMatrixObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPlistMatrixRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matobjplist" name="IsPlistMatrixRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="matobj1" name="IsRowListMatrix"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCheckingMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/matrix.omdoc b/content/http..www.gap-system.org/lib/matrix.omdoc
deleted file mode 100644
index bab811f0ccc775a64725a0a8d61aaa6d723f10d7..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/matrix.omdoc
+++ /dev/null
@@ -1,1238 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="matrix" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="SolutionMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="TriangulizedNullspaceMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizedNullspaceMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?matobj1"></import><constant name="DimensionsMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpperTriangularMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsNullMapMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNullMapMatrix_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="matrix" name="IsNullMapMatrix"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsGeneralizedRowVector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="GeneralisedEigenvalues">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NullspaceMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InverseMatMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FieldOfMatrixList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransposedMatImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="CharacteristicPolynomialMatrixNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryDivisorsMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Eigenvectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransposedMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralizedCartanMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseOrthogonalSpaceMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NullspaceMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizedMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MutableTransposedMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TransposedMatMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DiagonalizeMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeterminantMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KroneckerProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ProjectiveOrder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsDiagonalMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLowerTriangularMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryDivisorsTransformationsMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizeMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneralisedEigenspaces">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TraceMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RankMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UpperSubdiagonal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SolutionMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DepthOfUpperTriangularMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="JordanDecomposition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DefaultScalarDomainOfMatrixList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RankMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Eigenspaces">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMatTransformation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeterminantMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TriangulizedNullspaceMatNT">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMatTransformationDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CharacteristicPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeterminantMatDivFree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMats">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Eigenvalues">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SolutionMatNoCo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MinimalPolynomialMatrixNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMatsDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SumIntersectionMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BaseField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DefaultFieldOfMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemiEchelonMatDestructive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MutableCopyMat">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomialMatrix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/memory.omdoc b/content/http..www.gap-system.org/lib/memory.omdoc
deleted file mode 100644
index f6d371bd97ff68105441df5ef6748d2bc488c63e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/memory.omdoc
+++ /dev/null
@@ -1,176 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="memory" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsObjWithMemoryRankFilter">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsObjWithMemory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjWithMemory_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemory"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="memory" name="IsObjWithMemoryRankFilter"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="StripMemory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TypeOfObjWithMemory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ForgetMemory">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mgmadj.omdoc b/content/http..www.gap-system.org/lib/mgmadj.omdoc
deleted file mode 100644
index 343a2c81221ec60ec11f8de6e9d8a868d7b06d7d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mgmadj.omdoc
+++ /dev/null
@@ -1,538 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mgmadj" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMultiplicativeElementWithZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMultiplicativeElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMultiplicativeElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMultiplicativeElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsMagmaWithZeroAdjoinedElementRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoinedElementRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoinedElementRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMultiplicativeElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MultiplicativeZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsMultiplicativeZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsMagmaWithZeroAdjoined">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaWithZeroAdjoined_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmadj" name="IsMagmaWithZeroAdjoined"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingInjectionZeroMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MagmaWithZeroAdjoined">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InjectionZeroMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?reesmat"></import><constant name="MultiplicativeZeroOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mgmcong.omdoc b/content/http..www.gap-system.org/lib/mgmcong.omdoc
deleted file mode 100644
index 5d1e86d9603f0765e9842b59ae8b4c1a576404ec..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mgmcong.omdoc
+++ /dev/null
@@ -1,1413 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mgmcong" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?relation"></import><constant name="IsLeftMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftMagmaCongruence_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightMagmaCongruence_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsEndoGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsReflexiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsSymmetricBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsTransitiveBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsPreOrderBinaryRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelation"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsLeftMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaCongruence_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsRightMagmaCongruence"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratingPairsOfLeftMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MeetMagmaCongruences">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="JoinMagmaCongruences">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsCongruenceClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCongruenceClass_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmcong" name="IsCongruenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PartialClosureOfCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="LeftMagmaCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratingPairsOfRightMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratingPairsOfMagmaCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightMagmaCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MagmaCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mgmhom.omdoc b/content/http..www.gap-system.org/lib/mgmhom.omdoc
deleted file mode 100644
index 590f72cad136a7aa0edf3d7acf3033bc9c7d7b89..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mgmhom.omdoc
+++ /dev/null
@@ -1,53 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mgmhom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="NaturalHomomorphismByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsMagmaHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mgmideal.omdoc b/content/http..www.gap-system.org/lib/mgmideal.omdoc
deleted file mode 100644
index f0354d668405355991afaed7e02b5cfcf4309588..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mgmideal.omdoc
+++ /dev/null
@@ -1,105 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mgmideal" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="AsRightMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsLeftMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="AsLeftMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extrset"></import><constant name="IsRightMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="GeneratorsOfMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnBySuperset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnBySuperset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="MagmaIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftMagmaIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightMagmaIdealByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/mgmring.omdoc b/content/http..www.gap-system.org/lib/mgmring.omdoc
deleted file mode 100644
index 6997dc9456413c5c86c5cd7f827897face619272..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/mgmring.omdoc
+++ /dev/null
@@ -1,4938 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="mgmring" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsElementOfMagmaRingModuloRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloRelations_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsElementOfMagmaRingModuloSpanOfZeroFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloSpanOfZeroFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloSpanOfZeroFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloSpanOfZeroFamily_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloSpanOfZeroFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloSpanOfZeroFamily_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloSpanOfZeroFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfMagmaRingModuloSpanOfZeroFamily_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloSpanOfZeroFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroCoefficient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementOfFreeMagmaRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsElementOfMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="NormalizedElementOfMagmaRingModuloRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingObjDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingObjDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingObjDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?basis"></import><constant name="IsCanonicalBasisFreeMagmaRingRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFreeMagmaRingRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsCanonicalBasisFreeMagmaRingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFreeMagmaRingRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsCanonicalBasisFreeMagmaRingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFreeMagmaRingRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsCanonicalBasisFreeMagmaRingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsCanonicalBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisFreeMagmaRingRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsCanonicalBasisFreeMagmaRingRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="basis" name="IsCanonicalBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?module"></import><constant name="IsMagmaRingModuloRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloRelations_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRing_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AugmentationIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsEmbeddingMagmaMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingMagmaMagmaRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingMagmaMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsAndMagmaElements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpaceOfElementsOfMagmaRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsSpaceOfElementsOfMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeMagmaRingWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsFreeMagmaRing"></om:OMS>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsEmbeddingRingMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsInjective"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmbeddingRingMagmaRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsEmbeddingRingMagmaRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpDProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMagmaRingModuloSpanOfZero_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloSpanOfZero"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mgmring" name="IsMagmaRingModuloRelations"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ElementOfMagmaRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/module.omdoc b/content/http..www.gap-system.org/lib/module.omdoc
deleted file mode 100644
index 0c9dde1d59ce177964c67234dfdad77281d78a82..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/module.omdoc
+++ /dev/null
@@ -1,1497 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="module" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?extlset"></import><import from="http://www.gap-system.org/lib?addmagma"></import><constant name="IsFreeLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFreeLeftModule_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsHandledByNiceBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsHandledByNiceBasis_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsHandledByNiceBasis"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="module" name="IsFreeLeftModule"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="AsLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?extrset"></import><constant name="IsRightModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsAssociativeROpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsTrivialROpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsRightActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="GeneratorsOfLeftOperatorAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DimensionOfVectors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightOperatorAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsExtRSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extrset" name="IsDistributiveROpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsMatrixModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteDimensional">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Dimension">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFullRowModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfRightOperatorAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftModuleByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftOperatorAdditiveGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRowModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsFullMatrixModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UseBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsExtLSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsAssociativeLOpEProd"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpDSum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsDistributiveLOpESum"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsTrivialLOpEOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="extlset" name="IsLeftActedOnByRing"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ClosureLeftModule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/monoid.omdoc b/content/http..www.gap-system.org/lib/monoid.omdoc
deleted file mode 100644
index e1a20dc0fca84751406e2af38ff964d84b4eb863..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/monoid.omdoc
+++ /dev/null
@@ -1,45 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="monoid" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="AsMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><constant name="AsSubmonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MonoidByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/morpheus.omdoc b/content/http..www.gap-system.org/lib/morpheus.omdoc
deleted file mode 100644
index 8b4a513cb10967ba86c473d1f66c8bb061f9bc33..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/morpheus.omdoc
+++ /dev/null
@@ -1,538 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="morpheus" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="InnerAutomorphismsAutomorphismGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupOfAutomorphisms">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAutomorphismGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GQuotients">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupOfAutomorphismsFiniteGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><import from="http://www.gap-system.org/lib?ghom"></import><import from="http://www.gap-system.org/lib?oprt"></import><constant name="IsActionHomomorphismAutomGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismAutomGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="morpheus" name="IsActionHomomorphismAutomGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphicSubgroups">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AutomorphismDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="AutomorphismGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/numtheor.omdoc b/content/http..www.gap-system.org/lib/numtheor.omdoc
deleted file mode 100644
index b02d51ae6d260d6aa39763dd53b459aed3245c09..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/numtheor.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="numtheor" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="Phi">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Sigma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Tau">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Lambda">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/object.omdoc b/content/http..www.gap-system.org/lib/object.omdoc
deleted file mode 100644
index 72ef0d10dc5434c232ea22727434d3ed847f008e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/object.omdoc
+++ /dev/null
@@ -1,234 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="object" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsCopyable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMutable_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsMutable"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MemoryUsage">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KnownTruePropertiesOfObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DisplayString">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="=">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Name">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ShallowCopy">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KnownPropertiesOfObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInternallyConsistent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="KnownAttributesOfObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CategoriesOfObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PostMakeImmutable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="ObjByExtRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentationsOfObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Display">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtRepOfObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPackedElementDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPackedElementDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsPackedElementDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="in">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsImpossible">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="PrintString">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PrintObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="InfoText">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="String">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="<">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/objset.omdoc b/content/http..www.gap-system.org/lib/objset.omdoc
deleted file mode 100644
index 579138df9db52a67f0ba50b0a231ca0c7bf5b465..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/objset.omdoc
+++ /dev/null
@@ -1,47 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="objset" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsObjMap">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjMap_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="objset" name="IsObjMap"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsObjSet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="objset" name="IsObjSet"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/obsolete.omdoc b/content/http..www.gap-system.org/lib/obsolete.omdoc
deleted file mode 100644
index ba988bcc4d9e47df672f1dd7a3a9b50fee9a7110..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/obsolete.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="obsolete" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="TeXObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="PositionFirstComponent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?object"></import><constant name="ShrinkCoeffs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LaTeXObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/onecohom.omdoc b/content/http..www.gap-system.org/lib/onecohom.omdoc
deleted file mode 100644
index 185dbad684d5a0e84a424065d9d73ffffc64ba0e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/onecohom.omdoc
+++ /dev/null
@@ -1,57 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="onecohom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?record"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="OCNormalRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCAddComplement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCAddRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCAddSumMatrices">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCCoprimeComplement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCAddBigMatrices">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OCAddToFunctions2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/oper.omdoc b/content/http..www.gap-system.org/lib/oper.omdoc
deleted file mode 100644
index 709461ec94f55a93594bdd74d72c5b448897fc14..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/oper.omdoc
+++ /dev/null
@@ -1,22 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="oper" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsNoImmediateMethodsObject">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="ViewObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ViewString">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/oprt.omdoc b/content/http..www.gap-system.org/lib/oprt.omdoc
deleted file mode 100644
index 4515d54d663e707edcdcc4c0da73d8869395283a..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/oprt.omdoc
+++ /dev/null
@@ -1,5023 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="oprt" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?function"></import><constant name="PermutationOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSet_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSet_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSet_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSet_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSet_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?ctblfuns"></import><import from="http://www.gap-system.org/lib?ctbl"></import><constant name="IsTransitive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativesMinimalBlocksOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Transitivity">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalRepresentativeOfExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalBlocksOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><import from="http://www.gap-system.org/lib?ghom"></import><constant name="IsActionHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBlocksHomomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsBlocksHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PermutationCycleOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSubset_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalOrbit_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalOrbit"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSubset"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="StabilizerFuncOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CycleIndexOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismSubset_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismSubset"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ActionKernelExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativeActionOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByBase_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByBase"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="BlocksOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RankAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalOrbitsStabilizers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CyclesOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitLengths">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSemiRegular">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByActorsRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByActorsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="BlocksAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ActingDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitLengthsDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsActionHomomorphismByActors_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphismByActors"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalOrbitOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FunctionAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalRepresentativeDeterminatorOfExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitsDomain">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Earns">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Orbits">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitStabilizerOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DomainForAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRegular">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StabilizerOfExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsProjectiveActionHomomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsProjectiveActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="AbelianSubfactorAction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLinearActionHomomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsLinearActionHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ActionHomomorphismAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LinearActionBasis">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RepresentativesMinimalBlocksAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CycleLengthOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SortedSparseActionHomomorphismOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CycleOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrbitLengthOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CycleLengthsOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreOrbishProcessing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ActorOfExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HomeEnumerator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalOrbits">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?record"></import><constant name="OrbitStabilizerAlgorithm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SparseActionHomomorphismOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrimitiveAffine">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsExternalSetByPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSetByPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsExternalSet"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSPGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsTotal"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsSingleValued"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ghom" name="IsPreimagesByAsGroupGeneralMappingByImages"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstituentHomomorphism_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsConstituentHomomorphism"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oprt" name="IsActionHomomorphism"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SurjectiveActionHomomorphismAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MaximalBlocksAttr">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExternalSubsetOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrimitive">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanEasilyDetermineCanonicalRepresentativeExternalSet">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/oprtglat.omdoc b/content/http..www.gap-system.org/lib/oprtglat.omdoc
deleted file mode 100644
index 92a41d731237da0895f6402308caf77c3f112c8b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/oprtglat.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="oprtglat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="SubgroupsOrbitsAndNormalizers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/orders.omdoc b/content/http..www.gap-system.org/lib/orders.omdoc
deleted file mode 100644
index 5f9068495ba05f734065fd1b1fddf6bc2f4cc5ee..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/orders.omdoc
+++ /dev/null
@@ -1,240 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="orders" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="WreathProductOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="LessThanFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrderingOnFamilyOfAssocWords">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrderingOnGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTotalOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsShortLexOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLessThanOrEqualUnder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="OrderingByLessThanFunctionNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWellFoundedOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTranslationInvariantOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReductionOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="orders" name="IsWellFoundedOrdering"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="orders" name="IsWellFoundedOrdering"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="orders" name="IsTranslationInvariantOrdering"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="orders" name="IsTranslationInvariantOrdering"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="OrderingByLessThanOrEqualFunctionNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLessThanUnder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrderingsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBasicWreathProductOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIncomparableUnder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWeightLexOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?word"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="LexicographicOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsWreathProductOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LevelsOfGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ShortLexOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LetterRepWordsLessFunc">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FamilyForOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WeightOfGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LessThanOrEqualFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="WeightLexOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="BasicWreathProductOrdering">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/other.omdoc b/content/http..www.gap-system.org/lib/other.omdoc
deleted file mode 100644
index acbc76102ccfec006bb1b5518f69f94dfddb264b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/other.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="other" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?string"></import><constant name="MagmaInputString">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/overload.omdoc b/content/http..www.gap-system.org/lib/overload.omdoc
deleted file mode 100644
index 01bc0e337cb62deee388fdeb89a811d71bc9bef2..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/overload.omdoc
+++ /dev/null
@@ -1,137 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="overload" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="DerivedSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Determinant">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Kernel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSimple">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Degree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoKernel">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSolvable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Rank">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIrreducible">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerfect">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSupersolvable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlmostSimple">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSporadicSimple">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpotent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LowerCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UpperCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/padics.omdoc b/content/http..www.gap-system.org/lib/padics.omdoc
deleted file mode 100644
index 8e619a5760e82893c332d2d001db8215b97fb58f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/padics.omdoc
+++ /dev/null
@@ -1,998 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="padics" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsPadicNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicNumber_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="IsPadicNumberList">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsPadicNumberTable">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsTable"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ShiftedPadicNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PadicNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPurePadicNumber_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPurePadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Valuation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPadicExtensionNumber_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicExtensionNumber"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="padics" name="IsPadicNumber"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgs.omdoc b/content/http..www.gap-system.org/lib/pcgs.omdoc
deleted file mode 100644
index 457ad022fb2bdc36e8351a2b36a9482ac46a0162..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgs.omdoc
+++ /dev/null
@@ -1,2085 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgs" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsPcgsDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?oper"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsGeneralPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oper" name="IsNoImmediateMethodsObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGeneralPcgs_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteOrdersPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oper" name="IsNoImmediateMethodsObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgs_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NormalIntersectionPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oper" name="IsNoImmediateMethodsObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgs_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ExtendedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="CleanedTailPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PcGroupWithPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExponentsOfConjugate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SumOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HeadPcElementByNumber">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PCentralNormalSeriesByPcgsPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExponentsOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupOfPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ChiefNormalSeriesByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingExponentOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CentralNormalSeriesByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NormalSeriesByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExponentsOfRelativePower">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsEnumeratorByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEnumeratorByPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsEnumeratorByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesPCentralNormalStepsPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?rwspcgrp"></import><constant name="RefinedPcGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DepthAndLeadingExponentOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OneOfPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsChiefSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsPCentralSeriesPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IntersectionSumPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExponentOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsByPcgsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsByPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesEANormalSteps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtendedIntersectionSumPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsElementaryAbelianSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RelativeOrderOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesCentralNormalSteps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsElementaryAbelianSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsByPcSequenceNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesNormalSteps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrimeOrdersPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsByPcSequence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndicesChiefNormalSteps">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EANormalSeriesByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcElementByExponentsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EnumeratorByPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsChiefSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismRefinedPcGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DifferenceOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPCentralSeriesPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SumPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DepthOfPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExponentsOfCommutator">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SumFactorizationFunctionPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PcgsByPcSequenceCons">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgsind.omdoc b/content/http..www.gap-system.org/lib/pcgsind.omdoc
deleted file mode 100644
index 02ecf98fe0bd1cfb6f02c87c2228288eaa9f13e4..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgsind.omdoc
+++ /dev/null
@@ -1,912 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgsind" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?oper"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsInducedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDenseList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsHomogeneousList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="oper" name="IsNoImmediateMethodsObject"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsGeneralPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsModuloPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgs_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgs"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ParentPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsInducedPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsInducedPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByGeneratorsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByPcSequence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsParentPcgsFamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HomomorphicCanonicalPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcgsByGeneratorsWithImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HomomorphicInducedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByGeneratorsWithImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByPcSequenceNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsSubsetInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsSubsetInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsSubsetInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsSubsetInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsByPcSequenceAndGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeadCoeffsIGS">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementaryAbelianSubseries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsTailInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsTailInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsTailInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsTailInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsInducedPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsTailInducedPcgsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsTailInducedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsind" name="IsSubsetInducedPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SiftedPcElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsInducedPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgsmodu.omdoc b/content/http..www.gap-system.org/lib/pcgsmodu.omdoc
deleted file mode 100644
index 8f9c77272d0f925b92a9ace618e865ea1581e20b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgsmodu.omdoc
+++ /dev/null
@@ -1,537 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgsmodu" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsModuloPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DenominatorOfModuloPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="ModuloPcgsByPcSequenceNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsByListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsByListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsByListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsByListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloTailPcgsByListRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsByListRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentLayersForExponentsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentLayersForExponentsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentLayersForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentLayersForExponentsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentLayersForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentLayersForExponentsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentLayersForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentLayersForExponentsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentLayersForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NumeratorOfModuloPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentForExponentsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentForExponentsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentForExponentsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentForExponentsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentForExponentsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsNumeratorParentForExponentsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="ModuloPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="ExponentsConjugateLayer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ModuloPcgsByPcSequence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNumeratorParentPcgsFamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsSubsetInducedNumeratorModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsSubsetInducedNumeratorModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsSubsetInducedNumeratorModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsSubsetInducedNumeratorModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsetInducedNumeratorModuloTailPcgsRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsSubsetInducedNumeratorModuloTailPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsmodu" name="IsModuloTailPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgspcg.omdoc b/content/http..www.gap-system.org/lib/pcgspcg.omdoc
deleted file mode 100644
index e0bbb6e689e08c9280b3f1ce29eec9f0a0bf2b00..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgspcg.omdoc
+++ /dev/null
@@ -1,145 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgspcg" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsFamilyPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsUnsortedPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnsortedPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsUnsortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnsortedPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsUnsortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnsortedPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsUnsortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedPcgsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedPcgsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsSortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedPcgsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsSortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedPcgsRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsSortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSortedPcgsRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsSortedPcgsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgspcg" name="IsUnsortedPcgsRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgsperm.omdoc b/content/http..www.gap-system.org/lib/pcgsperm.omdoc
deleted file mode 100644
index 6cce250a4ad012881a73d2b7cc2597b6618e4e36..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgsperm.omdoc
+++ /dev/null
@@ -1,1480 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgsperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsPcgsPermGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPermGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPermGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPermGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPermGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPcgsPermGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?permutat"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semigrp"></import><import from="http://www.gap-system.org/lib?grp"></import><import from="http://www.gap-system.org/lib?fitfree"></import><constant name="IsMemberPcSeriesPermGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsFinite"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanEasilyCompareElements"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanEasilyCompareElements"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanEasilySortElements"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanEasilySortElements"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="coll" name="CanComputeSize"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInversesIfNonzero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsGeneratorsOfMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsGeneratorsOfMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st30">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st31">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st32">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGeneratorsOfSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st33">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st34">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsSimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st35">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st36">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st37">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st38">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsInverseSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st39">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st40">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelyRegularSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st41">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelySimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st42">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsCompletelySimpleSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st43">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st44">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsGroupAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st45">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st46">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsMonoidAsSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st47">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st48">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semigrp" name="IsOrthodoxSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st49">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsFinitelyGeneratedGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st50">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsFinitelyGeneratedGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st51">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSubsetLocallyFiniteGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st52">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="IsSubsetLocallyFiniteGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st53">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="CanEasilyTestMembership"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st54">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="grp" name="CanComputeSizeAnySubgroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st55">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="KnowsHowToDecompose"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st56">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="grp" name="KnowsHowToDecompose"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMemberPcSeriesPermGroup_st57">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsMemberPcSeriesPermGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="fitfree" name="CanComputeFittingFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsPcgsDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pcgs" name="IsFiniteOrdersPcgs"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsModuloPcgsPermGroupRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsModuloPcgsPermGroupRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pcgsperm" name="IsPcgsPermGroupRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pcgsspec.omdoc b/content/http..www.gap-system.org/lib/pcgsspec.omdoc
deleted file mode 100644
index 707537250510659dfb73995b58acf66b238b6172..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pcgsspec.omdoc
+++ /dev/null
@@ -1,97 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pcgsspec" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="LGLength">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="IsInducedPcgsWrtSpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalPcgsWrtSpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LGWeights">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LGTails">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LGLayers">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LGFirst">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LGHeads">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InducedPcgsWrtSpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CanonicalPcgsWrtSpecialPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/permdeco.omdoc b/content/http..www.gap-system.org/lib/permdeco.omdoc
deleted file mode 100644
index a11a2d3b004eb2e72d4b6f734f867bb24e7600e1..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/permdeco.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="permdeco" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="StoredPermliftSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/permutat.omdoc b/content/http..www.gap-system.org/lib/permutat.omdoc
deleted file mode 100644
index 70429a7ff977c5f5765ffea525b4ac1402cb7056..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/permutat.omdoc
+++ /dev/null
@@ -1,300 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="permutat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsFiniteOrderElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SmallestGeneratorPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsPerm4Rep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm4Rep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm4Rep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?trans"></import><import from="http://www.gap-system.org/lib?pperm"></import><constant name="SmallestMovedPoint">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm2Rep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPerm2Rep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="permutat" name="IsPerm2Rep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LargestMovedPoint">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedPermNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CycleStructurePerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SignPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NrMovedPoints">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MovedPoints">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DistancePerms">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/polyrat.omdoc b/content/http..www.gap-system.org/lib/polyrat.omdoc
deleted file mode 100644
index 2e71827f7bff2d34560d2362e389c1b89b157b7e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/polyrat.omdoc
+++ /dev/null
@@ -1,17 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="polyrat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?ratfun"></import><constant name="PrimitivePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MinimizedBombieriNorm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pperm.omdoc b/content/http..www.gap-system.org/lib/pperm.omdoc
deleted file mode 100644
index 1e5e5ea50db7c9002168a01f91ccc649072262b8..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pperm.omdoc
+++ /dev/null
@@ -1,380 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPerm_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="FixedPointsOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsPPerm2Rep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPPerm2Rep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPPerm2Rep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?function"></import><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="PartialPermOpNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RestrictedPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PermLeftQuoPartialPermNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ComponentPartialPermInt">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComponentRepsOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NrFixedPoints">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TrimPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DomainOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndexPeriodOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PartialPermOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PermLeftQuoPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImageSetOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CodegreeOfPartialPermCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RankOfPartialPermCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComponentsOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DomainOfPartialPermCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPPerm4Rep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPPerm4Rep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPPerm4Rep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsInternalRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NrComponentsOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImageOfPartialPermCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ImageListOfPartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOfPartialPermCollection">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PreImagePartialPerm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/pquot.omdoc b/content/http..www.gap-system.org/lib/pquot.omdoc
deleted file mode 100644
index 94ceb98c391977a0865069f1ae0c80cf8d45bb1d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/pquot.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="pquot" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="EpimorphismPGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?quotsys"></import><constant name="Nucleus">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EpimorphismNilpotentQuotientOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EpimorphismQuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/process.omdoc b/content/http..www.gap-system.org/lib/process.omdoc
deleted file mode 100644
index b8769d402dfe412e553c0dea465265a0f2d024a9..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/process.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="process" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?files"></import><import from="http://www.gap-system.org/lib?string"></import><import from="http://www.gap-system.org/lib?streams"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="Process">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/quotsys.omdoc b/content/http..www.gap-system.org/lib/quotsys.omdoc
deleted file mode 100644
index 6e09ba9a02120c77d0bff37e85aaf62b330d7122..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/quotsys.omdoc
+++ /dev/null
@@ -1,182 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="quotsys" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsQuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="DefineNewGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPQuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CheckConsistencyOfDefinitions">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IncorporateCentralRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EvaluateRelators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="GeneratorsOfLayer">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GetDefinitionNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RenumberHighestWeightGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorNumberOfQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TailsInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LengthOfDescendingSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpQuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="ExtRepByTailVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EvaluateConsistency">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LiftEpimorphism">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TraceDefinition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?word"></import><constant name="SplitWordTail">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ComputeTails">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RanksOfDescendingSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?string"></import><constant name="QuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupByQuotientSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClearDefinitionNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/randiso.omdoc b/content/http..www.gap-system.org/lib/randiso.omdoc
deleted file mode 100644
index 826e45aff8e61a174f80d1fc8e2d0788ded80d03..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/randiso.omdoc
+++ /dev/null
@@ -1,9 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="randiso" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="OmegaAndLowerPCentralSeries">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/random.omdoc b/content/http..www.gap-system.org/lib/random.omdoc
deleted file mode 100644
index 88ae857c4356d32372f835266df8ae7faddece06..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/random.omdoc
+++ /dev/null
@@ -1,209 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="random" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsRandomSource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRandomSource_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGAPRandomSource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGAPRandomSource_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsGAPRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGAPRandomSource_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsGAPRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGlobalRandomSource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsGlobalRandomSource_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsGlobalRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsGlobalRandomSource_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsGlobalRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Init">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Reset">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMersenneTwister">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMersenneTwister_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsMersenneTwister"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMersenneTwister_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsMersenneTwister"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="random" name="IsRandomSource"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?function"></import><constant name="RandomSource">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="State">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ratfun.omdoc b/content/http..www.gap-system.org/lib/ratfun.omdoc
deleted file mode 100644
index 7e927e70df7feda6890f16f65ff8ed871759c005..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ratfun.omdoc
+++ /dev/null
@@ -1,4095 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ratfun" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsPolynomialFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunction_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunction_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="Discriminant">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamilyElement_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsOfLaurentPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamilyElement_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="LaurentPolynomialByCoefficients">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtRepPolynomialRatFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Resultant">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DenominatorOfRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamily_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsUFDFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamily_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsUFDFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamily_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ZippedSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOfLaurentPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PolynomialCoefficientsOfPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamily_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="OneImmutable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamily_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsLaurentPolynomialsFamily_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsLaurentPolynomialsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsCommutativeFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialsFamily_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariatePolynomialsFamily"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariateRationalFunctionDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingCoefficient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialFunctionsFamilyElement_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsOfUnivariateRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtRepDenominatorRatFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZeroCoefficientRatFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeadingMonomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NumeratorOfRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZero"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsRationalFunctionsFamilyElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionsFamilyElement_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunctionsFamilyElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeIndeterminate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HeuristicCancelPolynomialsExtRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnivariatePolynomialByCoefficients">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Derivative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomial"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsUnivariateRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IndeterminateName">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RationalFunctionsFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="UnivariatePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ZippedProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UnivariateRationalFunctionByCoefficients">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsOfUnivariatePolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IndeterminateOfUnivariateRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsZDFRE"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsPolynomialFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalFunctionOverField_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunctionOverField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ratfun" name="IsRationalFunction"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IndeterminateNumberOfUnivariateRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ExtRepNumeratorRatFun">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConstantRationalFunction">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?float"></import><constant name="Value">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rational.omdoc b/content/http..www.gap-system.org/lib/rational.omdoc
deleted file mode 100644
index 60e9754e75bdafa98ad5514980a9d8660ce9c6f3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rational.omdoc
+++ /dev/null
@@ -1,42 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rational" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsCanonicalBasisRationals">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisRationals_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rational" name="IsCanonicalBasisRationals"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCanonicalBasisRationals_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rational" name="IsCanonicalBasisRationals"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/record.omdoc b/content/http..www.gap-system.org/lib/record.omdoc
deleted file mode 100644
index 371d41cac04aac7654874318b5ec4cfe9720d95f..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/record.omdoc
+++ /dev/null
@@ -1,46 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="record" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><constant name="IsRecord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="RecNames">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Unbind.">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBound.">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name=".:=">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name=".">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/reesmat.omdoc b/content/http..www.gap-system.org/lib/reesmat.omdoc
deleted file mode 100644
index 9b5b2f221c58ae0d3a6930c4876f929ea8532742..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/reesmat.omdoc
+++ /dev/null
@@ -1,443 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="reesmat" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsReesZeroMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="ReesMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?semirel"></import><constant name="AssociatedReesMatrixSemigroupOfDClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsReesMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSemigroupElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSemigroupElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSemigroupElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSemigroupElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfReesMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSemigroupElement_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesZeroMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSemigroupElement_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesZeroMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSemigroupElement_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesZeroMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSemigroupElement_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesZeroMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesZeroMatrixSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesZeroMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="ColumnOfReesMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReesMatrixSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Rows">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="ReesMatrixSemigroupOfFamily">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismReesZeroMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingElementOfReesMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ColumnOfReesZeroMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReesZeroMatrixSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Columns">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismReesMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnderlyingElementOfReesZeroMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReesZeroMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfReesZeroMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RowOfReesMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RowOfReesZeroMatrixSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="TypeReesMatrixSemigroupElements">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesMatrixSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="reesmat" name="IsReesMatrixSemigroupElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/relation.omdoc b/content/http..www.gap-system.org/lib/relation.omdoc
deleted file mode 100644
index a2f99497406e4013b3dc84791ae61f30dd7befcb..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/relation.omdoc
+++ /dev/null
@@ -1,482 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="relation" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?mapping"></import><constant name="TransitiveClosureBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPreOrderBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReflexiveBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsTransitiveBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsEquivalenceClass">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClass_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClass_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClass_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClass_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClass_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClass"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="EquivalenceClassRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PartialOrderOfHasseDiagram">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsBinaryRelationDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBinaryRelationDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsBinaryRelationDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBinaryRelationDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsBinaryRelationDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="EquivalenceClassOfElementNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOfBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsHasseDiagram">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EquivalenceRelationPartition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EquivalenceClassOfElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLatticeOrderBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBinaryRelationOnPointsRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsBinaryRelationOnPointsRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsBinaryRelationOnPointsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsBinaryRelationOnPointsRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsBinaryRelationOnPointsRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="SymmetricClosureBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StronglyConnectedComponents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MeetEquivalenceRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReflexiveClosureBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfEquivalenceRelationPartition">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialOrderBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Successors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EquivalenceClasses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="JoinEquivalenceRelations">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceRelationDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceRelationDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelationDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceRelationDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceRelationDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClassDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClassDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClassDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEquivalenceClassDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="relation" name="IsEquivalenceClassDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAntisymmetricBinaryRelation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ring.omdoc b/content/http..www.gap-system.org/lib/ring.omdoc
deleted file mode 100644
index f3907c87e2bbfbc02a60be6e469fd937b474f618..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ring.omdoc
+++ /dev/null
@@ -1,1929 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ring" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="IsUniqueFactorizationRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUniqueFactorizationRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="MultiplicativeNeutralElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st28">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEuclideanRing_st29">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsEuclideanRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ring" name="IsUniqueFactorizationRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsJacobianRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSquaredRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroMultiplicationRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InterpolatedPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIntegralRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GcdRepresentationOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsNearRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIrreducibleRingElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPrime">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DefaultRingByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QuotientRemainder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LcmOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAssociated">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EuclideanQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Units">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ClosureRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="StandardAssociateUnit">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GcdOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="PowerMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Factors">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="Quotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNearRingWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="GeneratorsOfRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EuclideanRemainder">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RingByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="QuotientMod">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="StandardAssociate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAnticommutative">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PadicValuation">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EuclideanDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfRingWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RingWithOneByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnit">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Associates">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ringhom.omdoc b/content/http..www.gap-system.org/lib/ringhom.omdoc
deleted file mode 100644
index 688bb50ba4ab09b0afa2528a7ce2bc589d47e70e..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ringhom.omdoc
+++ /dev/null
@@ -1,965 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ringhom" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?mapping"></import><import from="http://www.gap-system.org/lib?mapphomo"></import><constant name="IsRingGeneralMappingByImagesDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRingGeneralMappingByImagesDefaultRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="RingGeneralMappingByImages">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsComponentObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsAttributeStoringRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapping" name="IsGeneralMapping"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsMultiplication"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAddition"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="mapphomo" name="RespectsAdditiveInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingGeneralMappingByImagesDefaultRep_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsSCRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="ringhom" name="IsRingGeneralMappingByImagesDefaultRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NaturalHomomorphismByIdeal">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RingHomomorphismByImagesNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ringpoly.omdoc b/content/http..www.gap-system.org/lib/ringpoly.omdoc
deleted file mode 100644
index 3e9d3088c0338042d555642f2ed6ac470a73a9c3..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ringpoly.omdoc
+++ /dev/null
@@ -1,4940 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ringpoly" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="PolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><constant name="IsPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAlgebraicExtensionPolynomialRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAlgebraicExtensionPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFunctionField_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFunctionField"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsFiniteFieldPolynomialRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsFiniteFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsUnivariatePolynomialRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsUnivariatePolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IndeterminatesOfPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsAbelianNumberFieldPolynomialRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st11">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st12">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st13">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st14">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st15">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="domain" name="IsGeneralizedDomain"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st16">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st17">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st18">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagmaWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st19">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st20">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st21">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st22">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st23">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st24">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st25">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st26">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsRationalsPolynomialRing_st27">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsRationalsPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringpoly" name="IsAbelianNumberFieldPolynomialRing"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="MinimalPolynomial">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="UnivariatePolynomialRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Indeterminate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FunctionField">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CoefficientsRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/ringsc.omdoc b/content/http..www.gap-system.org/lib/ringsc.omdoc
deleted file mode 100644
index 60a639df2f9d9573fc08602221a4b8de3f192f03..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/ringsc.omdoc
+++ /dev/null
@@ -1,354 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="ringsc" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?addmagma"></import><import from="http://www.gap-system.org/lib?semiring"></import><constant name="Subrings">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Ideals">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsSCRingObj">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtAElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithZero"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsNearAdditiveElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAdditiveElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsSCRingObj_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="StandardGeneratorsSubringSCRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="DirectSumOp">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubringSCRing">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsNearAdditiveGroup"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="addmagma" name="IsAdditivelyCommutative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsLDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiring" name="IsRDistributive"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="ringsc" name="IsSCRingObj"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="DirectSumInfo">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rvecempt.omdoc b/content/http..www.gap-system.org/lib/rvecempt.omdoc
deleted file mode 100644
index 247d283499b684dbbdeaa6fd98ef987a40e0ae76..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rvecempt.omdoc
+++ /dev/null
@@ -1,95 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rvecempt" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsEmptyRowVectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmptyRowVectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rvecempt" name="IsEmptyRowVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmptyRowVectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rvecempt" name="IsEmptyRowVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmptyRowVectorRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rvecempt" name="IsEmptyRowVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsEmptyRowVectorRep_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rvecempt" name="IsEmptyRowVectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsConstantTimeAccessList"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="EmptyRowVector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rws.omdoc b/content/http..www.gap-system.org/lib/rws.omdoc
deleted file mode 100644
index f481ad2243e72e1182be4cbfb076e590f4165a14..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rws.omdoc
+++ /dev/null
@@ -1,379 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rws" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?object"></import><constant name="IsRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsRewritingSystem_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="NumberGeneratorsOfRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromMagma">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromMagmaWithOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromMagmaWithInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><constant name="ReducedDifference">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Rules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromAdditiveMagmaWithInverses">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReducedConfluentRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsReducedConfluentRewritingSystem_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsReducedConfluentRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsReducedConfluentRewritingSystem_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsReducedConfluentRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedComm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemigroupOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedOne">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MakeConfluent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReducedForm">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedZero">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="AddGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="ReducedPower">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="MonoidOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedConjugate">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeStructureOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OrderingOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsConfluent">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedLeftQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ConfluentRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedSum">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedQuotient">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddRule">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GeneratorsOfRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedScalarProduct">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReducedAdditiveInverse">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ReduceRules">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReduced">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBuiltFromMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AddRuleReduced">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwsdt.omdoc b/content/http..www.gap-system.org/lib/rwsdt.omdoc
deleted file mode 100644
index 50e2750a0d86c8af484b1ab73f148b5809a80e23..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwsdt.omdoc
+++ /dev/null
@@ -1,24 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwsdt" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsDeepThoughtCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsDeepThoughtCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwsdt" name="IsDeepThoughtCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwsgrp.omdoc b/content/http..www.gap-system.org/lib/rwsgrp.omdoc
deleted file mode 100644
index 03549ee3f7b7a705d7c9761e4eaf49a4621fb431..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwsgrp.omdoc
+++ /dev/null
@@ -1,187 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwsgrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsMultiplicativeElementWithInverseByRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByRws_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByRws_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByRws_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByRws_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByRws_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?rws"></import><constant name="GroupByRwsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="IsElementsFamilyByRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyByRws_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsElementsFamilyByRws"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="MultiplicativeElementsWithInversesFamilyByRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ElementByRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GroupByRws">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwspcclt.omdoc b/content/http..www.gap-system.org/lib/rwspcclt.omdoc
deleted file mode 100644
index 013bb609cb733db5ca5b278890efd03cae9ab821..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwspcclt.omdoc
+++ /dev/null
@@ -1,949 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwspcclt" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?object"></import><import from="http://www.gap-system.org/lib?rws"></import><constant name="IsPolycyclicCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPolycyclicCollector_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="UpdatePolycyclicCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NonTrivialRightHandSides">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="OutdatePolycyclicCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GetPowerNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="EvaluateOverlapANA">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerConjugateCollector_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerConjugateCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CombinatorialCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GetConjugateNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?type"></import><constant name="SingleCollectorByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SingleCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?pcgs"></import><constant name="RelativeOrders">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CombinatorialCollectorByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="object" name="IsCopyable"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsRewritingSystem"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagma"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st7">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromMagmaWithInverses"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st8">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st9">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rws" name="IsBuiltFromGroup"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsPowerCommutatorCollector_st10">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPowerCommutatorCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcclt" name="IsPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="CollectWordOrFail">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ObjByExponents">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="GetCommutatorNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EvaluateOverlapBNA">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CollectWord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeepThoughtCollectorByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DeepThoughtCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsUpToDatePolycyclicCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="EvaluateOverlapCBA">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EvaluateOverlapBAN">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwspccoc.omdoc b/content/http..www.gap-system.org/lib/rwspccoc.omdoc
deleted file mode 100644
index 08d1c805208695dde69da71fd38564ad929e789b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwspccoc.omdoc
+++ /dev/null
@@ -1,42 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwspccoc" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><import from="http://www.gap-system.org/lib?rwspcsng"></import><constant name="IsCombinatorialCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsCombinatorialCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspccoc" name="IsCombinatorialCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsCombinatorialCollectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspccoc" name="IsCombinatorialCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="IsSingleCollectorRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwspcgrp.omdoc b/content/http..www.gap-system.org/lib/rwspcgrp.omdoc
deleted file mode 100644
index 1bb76f6a009c77f88b99acd14c8385df2df3d4a8..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwspcgrp.omdoc
+++ /dev/null
@@ -1,759 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwspcgrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsNBitsPcWordRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsNBitsPcWordRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsNBitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsDataObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsKernelPcWord">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="PolycyclicFactorGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="PolycyclicFactorGroupByRelators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?rwsgrp"></import><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsMultiplicativeElementWithInverseByPolycyclicCollector_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsMultiplicativeElementWithInverseByRws"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="DefiningPcgs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy8BitsSingleCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy8BitsSingleCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy8BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy8BitsSingleCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy8BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsElementsFamilyByRws"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsPcWordRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsPcWordRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is32BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsDataObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsPcWordRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is32BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsKernelPcWord"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsPcWordRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is32BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsNBitsPcWordRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtRElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithOne"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsMultiplicativeElementWithInverse"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementFinitePolycyclicGroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementFinitePolycyclicGroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsAssociativeElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsPcGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithInverses"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsMultiplicativeElementWithInverseByPolycyclicCollector"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="PolycyclicFactorGroupNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsPcWordRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsPcWordRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is16BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsDataObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsPcWordRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is16BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsKernelPcWord"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsPcWordRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is16BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsNBitsPcWordRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy32BitsSingleCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy32BitsSingleCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy32BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy32BitsSingleCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy32BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsElementsFamilyByRws"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="PolycyclicFactorGroupByRelatorsNC">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy16BitsSingleCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy16BitsSingleCollector_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy16BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsFamily"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsElementsFamilyBy16BitsSingleCollector_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsElementsFamilyBy16BitsSingleCollector"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="rwsgrp" name="IsElementsFamilyByRws"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsPcWordRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsPcWordRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is8BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsDataObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsPcWordRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is8BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsKernelPcWord"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsPcWordRep_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="Is8BitsPcWordRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcgrp" name="IsNBitsPcWordRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwspcsng.omdoc b/content/http..www.gap-system.org/lib/rwspcsng.omdoc
deleted file mode 100644
index d7d37af2400097a6c618e1cde89f3c04a2b494e4..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwspcsng.omdoc
+++ /dev/null
@@ -1,152 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwspcsng" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?type"></import><constant name="IsSingleCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsSingleCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="IsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsSingleCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsSingleCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is8BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is8BitsSingleCollectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is8BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="IsSingleCollectorRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsSingleCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsSingleCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is32BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is32BitsSingleCollectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is32BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="IsSingleCollectorRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsDefaultRhsTypeSingleCollector">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsSingleCollectorRep">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsSingleCollectorRep_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is16BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="type" name="IsPositionalObjectRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="Is16BitsSingleCollectorRep_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="Is16BitsSingleCollectorRep"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMS base="http://www.gap-system.org/lib" module="rwspcsng" name="IsSingleCollectorRep"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/rwssmg.omdoc b/content/http..www.gap-system.org/lib/rwssmg.omdoc
deleted file mode 100644
index 6279a4c0801c2ddc17e7cd1369469c4fc1558c0d..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/rwssmg.omdoc
+++ /dev/null
@@ -1,33 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="rwssmg" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?rws"></import><constant name="FreeSemigroupOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FreeMonoidOfRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FamilyForRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><constant name="ReducedConfluentRewritingSystem">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/schur.omdoc b/content/http..www.gap-system.org/lib/schur.omdoc
deleted file mode 100644
index 41690deff693a47b880580a1bfb647c15226998b..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/schur.omdoc
+++ /dev/null
@@ -1,57 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="schur" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="NonabelianExteriorSquare">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="Epicentre">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EpimorphismSchurCover">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="EpimorphismNonabelianExteriorSquare">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCentralFactor">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AbelianInvariantsMultiplier">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SchurCover">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/schursym.omdoc b/content/http..www.gap-system.org/lib/schursym.omdoc
deleted file mode 100644
index e503cd5f369cec8b95f0ccb649a287732c2ca185..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/schursym.omdoc
+++ /dev/null
@@ -1,17 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="schursym" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="SchurCoverOfSymmetricGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DoubleCoverOfAlternatingGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/semicong.omdoc b/content/http..www.gap-system.org/lib/semicong.omdoc
deleted file mode 100644
index 243d28494dc714e6f8636c8af3d4fd0202968b00..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/semicong.omdoc
+++ /dev/null
@@ -1,57 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="semicong" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?mgmcong"></import><constant name="IsSemigroupCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?list"></import><constant name="SemigroupCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="RightSemigroupCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightSemigroupCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftSemigroupCongruence">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="LeftSemigroupCongruenceByGeneratingPairs">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/semigrp.omdoc b/content/http..www.gap-system.org/lib/semigrp.omdoc
deleted file mode 100644
index 415e5a5f5be992f000b04ab4e120a2e777a52b9c..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/semigrp.omdoc
+++ /dev/null
@@ -1,357 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="semigrp" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?arith"></import><constant name="IsRegularSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRegularSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSimpleSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?coll"></import><constant name="IsGeneratorsOfSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonoidAsSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSimpleSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompletelyRegularSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsGroupAsSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsOrthodoxSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?semicong"></import><constant name="FactorSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="AsSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CayleyGraphDualSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?domain"></import><constant name="AsSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsReesCongruenceSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemigroupByGenerators">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSubsemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCliffordSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsMonogenicSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="CayleyGraphSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?list"></import><constant name="HomomorphismFactorSemigroupByClosure">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCompletelySimpleSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRectangularBand">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DisplaySemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsNilpotentSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="IsSemilattice">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="HomomorphismFactorSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsLeftZeroSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBand">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsCommutativeSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsZeroGroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsIdempotentGenerated">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsBrandtSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="NilpotencyDegree">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="FactorSemigroupByClosure">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsRightZeroSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSemiband">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="InversesOfSemigroupElement">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemigroupViewStringSuffix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="SemigroupViewStringPrefix">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="ANonReesCongruenceOfSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/semipperm.omdoc b/content/http..www.gap-system.org/lib/semipperm.omdoc
deleted file mode 100644
index 4949c970bb34219c0debcbb3d49a459094796824..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/semipperm.omdoc
+++ /dev/null
@@ -1,121 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="semipperm" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?magma"></import><constant name="IsomorphismPartialPermMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?pperm"></import><constant name="IsPartialPermMonoid">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagmaWithOne"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="CodegreeOfPartialPermSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><import from="http://www.gap-system.org/lib?cyclotom"></import><constant name="SymmetricInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsPartialPermSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="filter"></om:OMS></om:OMOBJ></type>
- <definition><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="pperm" name="IsPartialPerm"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsMagma"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="filter_and"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="magma" name="IsAssociative"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA></om:OMOBJ></definition>
-
- </constant><constant name="RankOfPartialPermSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsomorphismPartialPermSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="DegreeOfPartialPermSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant><constant name="IsSymmetricInverseSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS>
- </om:OMA></om:OMOBJ></type>
-
-
- </constant></theory></omdoc>
\ No newline at end of file
diff --git a/content/http..www.gap-system.org/lib/semiquo.omdoc b/content/http..www.gap-system.org/lib/semiquo.omdoc
deleted file mode 100644
index 314b015e4a128bbc3015b2d784b7204472312b90..0000000000000000000000000000000000000000
--- a/content/http..www.gap-system.org/lib/semiquo.omdoc
+++ /dev/null
@@ -1,408 +0,0 @@
-<omdoc xmlns="http://omdoc.org/ns" xmlns:om="http://www.openmath.org/OpenMath"><theory name="semiquo" base="http://www.gap-system.org/lib" meta="http://www.gap-system.org/?Types"><import from="http://www.gap-system.org/lib?coll"></import><import from="http://www.gap-system.org/lib?list"></import><import from="http://www.gap-system.org/lib?arith"></import><import from="http://www.gap-system.org/lib?domain"></import><import from="http://www.gap-system.org/lib?magma"></import><import from="http://www.gap-system.org/lib?semigrp"></import><constant name="IsQuotientSemigroup">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMS base="http://www.gap-system.org/" module="Types" name="category"></om:OMS></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st0">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsListOrCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st1">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="coll" name="IsCollection"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st2">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="propertyFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st3">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="Has"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="list" name="IsDuplicateFree"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st4">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st5">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="semiquo" name="IsQuotientSemigroup"></om:OMS>
- </om:OMA>
- </om:OMA><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="CategoryCollection"></om:OMS><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="catFilter"></om:OMS><om:OMS base="http://www.gap-system.org/lib" module="arith" name="IsExtLElement"></om:OMS>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMA>
- </om:OMBIND></om:OMOBJ></type>
-
-
- </constant><constant name="IsQuotientSemigroup_st6">
-
- <type><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMBIND>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="Pi"></om:OMS>
- <om:OMBVAR><om:OMV name="x"><type><om:OMS base="http://www.gap-system.org/" module="Types" name="object"></om:OMS></type></om:OMV></om:OMBVAR>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="arrow"></om:OMS>
- <om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <om:OMS base="http://www.gap-system.org/" module="Types" name="hastp"></om:OMS><om:OMV name="x"></om:OMV><om:OMA>
- <om:OMS base="http://cds.omdoc.org/urtheories" module="LambdaPi" name="apply"></om:OMS>
- <